[ { "id": "https://authors.library.caltech.edu/records/h883z-s7g63", "eprint_id": 84376, "eprint_status": "archive", "datestamp": "2023-08-19 09:55:32", "lastmod": "2023-10-18 16:10:24", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Cheung-Clifford", "name": { "family": "Cheung", "given": "Clifford" } }, { "id": "Kampk-K", "name": { "family": "Kampf", "given": "Karol" }, "orcid": "0000-0003-1096-667X" }, { "id": "Novotny-J", "name": { "family": "Novotny", "given": "Jiri" } }, { "id": "Shen-Chia-Hsien", "name": { "family": "Shen", "given": "Chia-Hsien" }, "orcid": "0000-0002-5138-9971" }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } }, { "id": "Wen-Congkao", "name": { "family": "Wen", "given": "Congkao" }, "orcid": "0000-0002-5174-1576" } ] }, "title": "Vector Effective Field Theories from Soft Limits", "ispublished": "pub", "full_text_status": "public", "note": "\u00a9 2018 Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. \n\nFunded by SCOAP3. \n\nReceived 8 January 2018; revised manuscript received 16 April 2018; published 29 June 2018. \n\nWe thank Nima Arkani-Hamed for useful discussions. This work is supported in part by Czech Government Projects No. GACR 18-17224S and No. LTAUSA17069. C. C. and C.W. are supported by a Sloan Research Fellowship and a Department of Energy Early Career Award under Grant No. DE-SC0010255. J. T. is supported by Department of Energy Grant No. DE-SC0009999.\n\n
Published - PhysRevLett.120.261602.pdf
Submitted - 1801.01496.pdf
", "abstract": "We present a bottom-up construction of vector effective field theories using the infrared structure of scattering amplitudes. Our results employ two distinct probes of soft kinematics: multiple soft limits and single soft limits after dimensional reduction applicable in four and general dimensions, respectively. Both approaches uniquely specify the Born-Infeld (BI) model as the only theory of vectors completely fixed by certain infrared conditions which generalize the Adler zero for pions. These soft properties imply new recursion relations for on-shell scattering amplitudes in BI theory and suggest the existence of a wider class of vector effective field theories.", "date": "2018-06-29", "date_type": "published", "publication": "Physical Review Letters", "volume": "120", "number": "26", "publisher": "American Physical Society", "pagerange": "Art. No. 261602", "id_number": "CaltechAUTHORS:20180117-160027517", "issn": "0031-9007", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20180117-160027517", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Czech Republic", "grant_number": "GACR 18-17224S" }, { "agency": "Czech Republic", "grant_number": "LTAUSA17069" }, { "agency": "Alfred P. Sloan Foundation" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0010255" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0009999" }, { "agency": "SCOAP3" } ] }, "other_numbering_system": { "items": [ { "id": "2017-074", "name": "CALT-TH" } ] }, "local_group": { "items": [ { "id": "Walter-Burke-Institute-for-Theoretical-Physics" } ] }, "doi": "10.1103/PhysRevLett.120.261602", "primary_object": { "basename": "1801.01496.pdf", "url": "https://authors.library.caltech.edu/records/h883z-s7g63/files/1801.01496.pdf" }, "related_objects": [ { "basename": "PhysRevLett.120.261602.pdf", "url": "https://authors.library.caltech.edu/records/h883z-s7g63/files/PhysRevLett.120.261602.pdf" } ], "resource_type": "article", "pub_year": "2018", "author_list": "Cheung, Clifford; Kampf, Karol; et el." }, { "id": "https://authors.library.caltech.edu/records/t2kee-x9e40", "eprint_id": 72010, "eprint_status": "archive", "datestamp": "2023-08-19 01:13:09", "lastmod": "2024-02-10 00:19:26", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Cheung-Clifford", "name": { "family": "Cheung", "given": "Clifford" }, "orcid": "0000-0002-9983-9425" }, { "id": "Kampk-K", "name": { "family": "Kampf", "given": "Karol" }, "orcid": "0000-0003-1096-667X" }, { "id": "Novotny-J", "name": { "family": "Novotny", "given": "Jiri" } }, { "id": "Shen-Chia-Hsien", "name": { "family": "Shen", "given": "Chia-Hsien" }, "orcid": "0000-0002-5138-9971" }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } } ] }, "title": "A Periodic Table of Effective Field Theories", "ispublished": "pub", "full_text_status": "public", "keywords": "Effective field theories, Scattering Amplitudes", "note": "\u00a9 2017 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. \n\nArticle funded by SCOAP3. \n\nReceived: November 27, 2016; Revised: January 25, 2017; Accepted: January 26, 2017; Published: February 6, 2017. \n\nWe thank Nima Arkani-Hamed and Enrico Herrmann for discussions. We also thank Tom Melia for pointing out a typo in the earlier version. This work is supported in part by Czech Government project no. LH14035 and GACR 15-18080S. C.C. and C.-H.S. are supported by a Sloan Research Fellowship and a DOE Early Career Award under grant no. DESC0010255. C.-H.S. thanks Nordita and Niels Bohr International Academy and Discovery Center for hospitality.\n\nPublished - art_3A10.1007_2FJHEP02_282017_29020.pdf
Submitted - 1611.03137v1.pdf
", "abstract": "We systematically explore the space of scalar effective field theories (EFTs) consistent with a Lorentz invariant and local S-matrix. To do so we define an EFT classification based on four parameters characterizing 1) the number of derivatives per interaction, 2) the soft properties of amplitudes, 3) the leading valency of the interactions, and 4) the spacetime dimension. Carving out the allowed space of EFTs, we prove that exceptional EFTs like the non-linear sigma model, Dirac-Born-Infeld theory, and the special Galileon lie precisely on the boundary of allowed theory space. Using on-shell momentum shifts and recursion relations, we prove that EFTs with arbitrarily soft behavior are forbidden and EFTs with leading valency much greater than the spacetime dimension cannot have enhanced soft behavior. We then enumerate all single scalar EFTs in d < 6 and verify that they correspond to known theories in the literature. Our results suggest that the exceptional theories are the natural EFT analogs of gauge theory and gravity because they are one-parameter theories whose interactions are strictly dictated by properties of the S-matrix.", "date": "2017-02", "date_type": "published", "publication": "Journal of High Energy Physics", "volume": "2017", "number": "2", "publisher": "Springer", "pagerange": "Art. No. 020", "id_number": "CaltechAUTHORS:20161114-161621602", "issn": "1126-6708", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20161114-161621602", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Czech Government", "grant_number": "LH14035" }, { "agency": "Czech Government", "grant_number": "GACR 15-18080S" }, { "agency": "Alfred P. Sloan Foundation" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0010255" }, { "agency": "SCOAP3" } ] }, "collection": "CaltechAUTHORS", "other_numbering_system": { "items": [ { "id": "2016-031", "name": "CALT-TH" } ] }, "local_group": { "items": [ { "id": "Walter-Burke-Institute-for-Theoretical-Physics", "value": "Walter Burke Institute for Theoretical Physics" } ] }, "doi": "10.1007/JHEP02(2017)020", "primary_object": { "basename": "1611.03137v1.pdf", "url": "https://authors.library.caltech.edu/records/t2kee-x9e40/files/1611.03137v1.pdf" }, "related_objects": [ { "basename": "art_3A10.1007_2FJHEP02_282017_29020.pdf", "url": "https://authors.library.caltech.edu/records/t2kee-x9e40/files/art_3A10.1007_2FJHEP02_282017_29020.pdf" } ], "resource_type": "article", "pub_year": "2017", "author_list": "Cheung, Clifford; Kampf, Karol; et el." }, { "id": "https://authors.library.caltech.edu/records/2r60g-92j88", "eprint_id": 61423, "eprint_status": "archive", "datestamp": "2023-08-20 10:01:58", "lastmod": "2023-10-25 14:52:25", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Cheung-Clifford", "name": { "family": "Cheung", "given": "Clifford" } }, { "id": "Kampf-K", "name": { "family": "Kampf", "given": "Karol" } }, { "id": "Novotny-J", "name": { "family": "Novotny", "given": "Jiri" } }, { "id": "Shen-Chia-Hsien", "name": { "family": "Shen", "given": "Chia-Hsien" }, "orcid": "0000-0002-5138-9971" }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } } ] }, "title": "On-Shell Recursion Relations for Effective Field Theories", "ispublished": "pub", "full_text_status": "public", "note": "\u00a9 2016 American Physical Society. This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. \n\nReceived 18 September 2015; published 25 January 2016. \n\nWe thank John Schwarz and Stanley Deser for discussions. This work is supported in part by Czech Government Projects No. LH14035 and No. GACR 15-18080S. J.\u2009T. is supported by the David and Ellen Lee Scholarship and DOE under Grant No. DE-SC0011632, and C.\u2009C. and C.-H.\u2009S. are supported by a Sloan Research Fellowship and a DOE Early Career Award under Grant No. DE-SC0010255. This work was performed in part at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1066293.\n\nPublished - PhysRevLett.116.041601.pdf
Submitted - 1509.03309v1.pdf
", "abstract": "We derive the first ever on-shell recursion relations applicable to effective field theories. Based solely on factorization and the soft behavior of amplitudes, these recursion relations employ a new rescaling momentum shift to construct all tree-level scattering amplitudes in the nonlinear sigma model, Dirac-Born-Infeld theory, and the Galileon. Our results prove that all theories with enhanced soft behavior are on-shell constructible.", "date": "2016-01-29", "date_type": "published", "publication": "Physical Review Letters", "volume": "116", "number": "4", "publisher": "American Physical Society", "pagerange": "Art. No. 041601", "id_number": "CaltechAUTHORS:20151022-121225042", "issn": "0031-9007", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20151022-121225042", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Czech Government", "grant_number": "LH14035" }, { "agency": "Czech Government", "grant_number": "GACR 15-18080S" }, { "agency": "David and Ellen Lee Postdoctoral Scholarship" }, { "agency": "Department of Energy (DOE)", "grant_number": "DESC0011632" }, { "agency": "Alfred P. Sloan Foundation" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0010255" }, { "agency": "NSF", "grant_number": "PHY-1066293" } ] }, "other_numbering_system": { "items": [ { "id": "2015-047", "name": "CALT-TH" } ] }, "local_group": { "items": [ { "id": "Walter-Burke-Institute-for-Theoretical-Physics" } ] }, "doi": "10.1103/PhysRevLett.116.041601", "primary_object": { "basename": "1509.03309v1.pdf", "url": "https://authors.library.caltech.edu/records/2r60g-92j88/files/1509.03309v1.pdf" }, "related_objects": [ { "basename": "PhysRevLett.116.041601.pdf", "url": "https://authors.library.caltech.edu/records/2r60g-92j88/files/PhysRevLett.116.041601.pdf" } ], "resource_type": "article", "pub_year": "2016", "author_list": "Cheung, Clifford; Kampf, Karol; et el." }, { "id": "https://authors.library.caltech.edu/records/mapp0-4tn80", "eprint_id": 59527, "eprint_status": "archive", "datestamp": "2023-08-20 07:52:26", "lastmod": "2023-10-23 20:41:22", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Bourjaily-J-L", "name": { "family": "Bourjaily", "given": "Jacob L." } }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } } ] }, "title": "Local Integrand Representations of All Two-Loop Amplitudes in Planar SYM", "ispublished": "pub", "full_text_status": "public", "keywords": "Supersymmetric gauge theory Scattering Amplitudes, 1/N Expansion", "note": "\u00a9 2015 The Authors.\nThis article is distributed under the terms of the Creative Commons\nAttribution License (CC-BY 4.0), which permits any use, distribution and reproduction in\nany medium, provided the original author(s) and source are credited.\n\nArticle funded by SCOAP3.\n\nReceived: June 13, 2015;\nAccepted: July 20, 2015;\nPublished: August 25, 2015.\n\nWe are very grateful to Simon Caron-Huot for important insights, discussions, and contributions, and to Nima Arkani-Hamed, Zvi Bern, Freddy Cachazo, and Marcus Spradlin for especially fruitful conversations. This work was supported through the hospitality of the Aspen Center for Physics (supported by NSF grant #1066293), the Hong Kong University of Science and Technology's Institute for Advanced Study, and the California Institute of Technology. This work has been supported in part by the Harvard Society of Fellows, a grant from the Harvard Milton Fund, and a MOBILEX research grant from the Danish Council for Independent Research (JLB); and also by the David and Ellen Lee Postdoctoral Scholarship and by the Department of Energy under grant DE-SC0011632 (JT).\n\nPublished - art_3A10.1007_2FJHEP08_282015_29119.pdf
Submitted - 1505.05886v1.pdf
", "abstract": "We use generalized unitarity at the integrand-level to directly construct\nlocal, manifestly dual-conformally invariant formulae for all two-loop\nscattering amplitudes in planar, maximally supersymmetric Yang-Mills theory\n(SYM). This representation separates contributions into manifestly finite and\nmanifestly divergent terms---in a way that renders all infrared-safe\nobservables (including ratio functions) calculable without any need for\nregulation. These results perfectly match the all-loop BCFW recursion\nrelations, to which we provide a closed-form solution valid through\ntwo-loop-order. Finally, we describe and document a Mathematica package which\nimplements these results, available as part of this work's source files on the\narXiv.", "date": "2015-08-25", "date_type": "published", "publication": "Journal of High Energy Physics", "volume": "2015", "number": "8", "publisher": "Springer", "pagerange": "Art. No. 119", "id_number": "CaltechAUTHORS:20150814-090422946", "issn": "1126-6708", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20150814-090422946", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "NSF", "grant_number": "1066293" }, { "agency": "Hong Kong University of Science and Technology" }, { "agency": "Caltech" }, { "agency": "Harvard Society of Fellows" }, { "agency": "Harvard Milton Fund" }, { "agency": "Danish Council for Independent Research", "grant_number": "MOBILEX" }, { "agency": "David and Ellen Lee Postdoctoral Scholarship" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0011632" } ] }, "other_numbering_system": { "items": [ { "id": "2015-026", "name": "CALT-TH" } ] }, "local_group": { "items": [ { "id": "Walter-Burke-Institute-for-Theoretical-Physics" } ] }, "doi": "10.1007/JHEP08(2015)119", "primary_object": { "basename": "1505.05886v1.pdf", "url": "https://authors.library.caltech.edu/records/mapp0-4tn80/files/1505.05886v1.pdf" }, "related_objects": [ { "basename": "art_3A10.1007_2FJHEP08_282015_29119.pdf", "url": "https://authors.library.caltech.edu/records/mapp0-4tn80/files/art_3A10.1007_2FJHEP08_282015_29119.pdf" } ], "resource_type": "article", "pub_year": "2015", "author_list": "Bourjaily, Jacob L. and Trnka, Jaroslav" }, { "id": "https://authors.library.caltech.edu/records/2qmz0-heq72", "eprint_id": 55808, "eprint_status": "archive", "datestamp": "2023-08-20 07:42:46", "lastmod": "2023-10-20 23:14:26", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Arkani-Hamed-N", "name": { "family": "Arkani-Hamed", "given": "Nima" } }, { "id": "Hodges-A", "name": { "family": "Hodges", "given": "Andrew" } }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } } ] }, "title": "Positive Amplitudes In The Amplituhedron", "ispublished": "pub", "full_text_status": "public", "keywords": "Supersymmetric gauge theory, Scattering Amplitudes", "note": "\u00a9 2015 The Authors. \nThis article is distributed under the terms of the Creative Commons\nAttribution License (CC-BY 4.0), which permits any use, distribution and reproduction in\nany medium, provided the original author(s) and source are credited.\n\nArticle funded by SCOAP3.\n\nReceived: February 5, 2015. Accepted: July 13, 2015. Published: August 7, 2015. \n\n\nWe thank Jake Bourjaily and Thomas Lam for stimulating discussions. We also thank\nSimon Caron-Huot for discussions, and for suggesting and checking the positivity of the\nintegrated 6-point ratio function at one loop. N. A.-H. is supported by the Department\nof Energy under grant number DE-FG02-91ER40654. J. T. is supported in part by the\nDavid and Ellen Lee Postdoctoral Scholarship and by the Department of Energy under\ngrant number de-sc0011632.\n\nPublished - art_3A10.1007_2FJHEP08_282015_29030.pdf
Submitted - 1412.8478v1.pdf
", "abstract": "The all-loop integrand for scattering amplitudes in planar N = 4 SYM is determined by an \"amplitude form\" with logarithmic singularities on the boundary of the amplituhedron. In this note we provide strong evidence for a new striking property of the superamplitude, which we conjecture to be true to all loop orders: the amplitude form is positive when evaluated inside the amplituhedron. The statement is sensibly formulated thanks to the natural \"bosonization\" of the superamplitude associated with the amplituhedron geometry. However this positivity is not manifest in any of the current approaches to scattering amplitudes, and in particular not in the cellulations of the amplituhedron related to on-shell diagrams and the positive grassmannian. The surprising positivity of the form suggests the existence of a \"dual amplituhedron\" formulation where this feature would be made obvious. We also suggest that the positivity is associated with an extended picture of amplituhedron geometry, with the amplituhedron sitting inside a co-dimension one surface separating \"legal\" and \"illegal\" local singularities of the amplitude. We illustrate this in several simple examples, obtaining new expressions for amplitudes not associated with any triangulations, but following in a more invariant manner from a global view of the positive geometry.", "date": "2015-08-07", "date_type": "published", "publication": "Journal of High Energy Physics", "volume": "2015", "number": "8", "publisher": "Springer", "pagerange": "Art. No. 30", "id_number": "CaltechAUTHORS:20150316-142202703", "issn": "1126-6708", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20150316-142202703", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Department of Energy (DOE)", "grant_number": "DE-FG02-91ER40654" }, { "agency": "David and Ellen Lee Postdoctoral Scholarship" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0011632" }, { "agency": "SCOAP3" } ] }, "other_numbering_system": { "items": [ { "id": "2014-168", "name": "CALT-TH" } ] }, "local_group": { "items": [ { "id": "Walter-Burke-Institute-for-Theoretical-Physics" } ] }, "doi": "10.1007/JHEP08(2015)030", "primary_object": { "basename": "1412.8478v1.pdf", "url": "https://authors.library.caltech.edu/records/2qmz0-heq72/files/1412.8478v1.pdf" }, "related_objects": [ { "basename": "art_3A10.1007_2FJHEP08_282015_29030.pdf", "url": "https://authors.library.caltech.edu/records/2qmz0-heq72/files/art_3A10.1007_2FJHEP08_282015_29030.pdf" } ], "resource_type": "article", "pub_year": "2015", "author_list": "Arkani-Hamed, Nima; Hodges, Andrew; et el." }, { "id": "https://authors.library.caltech.edu/records/c075k-m0j21", "eprint_id": 55718, "eprint_status": "archive", "datestamp": "2023-08-20 06:55:42", "lastmod": "2023-10-20 23:03:50", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Cheung-Clifford", "name": { "family": "Cheung", "given": "Clifford" } }, { "id": "Shen-Chia-Hsien", "name": { "family": "Shen", "given": "Chia-Hsien" }, "orcid": "0000-0002-5138-9971" }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } } ] }, "title": "Simple Recursion Relations for General Field Theories", "ispublished": "pub", "full_text_status": "public", "note": "\u00a9 2015 The Authors.\nPublished for SISSA by Springer.\nThis article is distributed under the terms of the Creative Commons\nAttribution License (CC-BY 4.0), which permits any use, distribution and reproduction in\nany medium, provided the original author(s) and source are credited.\n\nArticle funded by SCOAP3.\n\nReceived: March 17, 2015;\nAccepted: May 11, 2015;\nPublished: June 17, 2015.\n\nThis research is funded by Walter Burke Institute for Theoretical Physics. C.C. and C.-\nH.S. are supported by a DOE Early Career Award under Grant No. DE-SC0010255. C.C.\nis also supported by a Sloan Research Fellowship. J.T. is supported in part by the David\nand Ellen Lee Postdoctoral Scholarship and by the Department of Energy under grant\nnumber DE-SC0011632.\n\nPublished - art_10.1007_JHEP06_2015_118.pdf
Submitted - 1502.05057v1.pdf
", "abstract": "On-shell methods offer an alternative definition of quantum field theory at tree-level, replacing Feynman diagrams with recursion relations and interaction vertices with a handful of seed scattering amplitudes. In this paper we determine the simplest recursion relations needed to construct a general four-dimensional quantum field theory of massless particles. For this purpose we define a covering space of recursion relations which naturally generalizes all existing constructions, including those of BCFW and Risager. The validity of each recursion relation hinges on the large momentum behavior of an n-point scattering amplitude under an m-line momentum shift, which we determine solely from dimensional analysis, Lorentz invariance, and locality. We show that all amplitudes in a renormalizable theory are 5-line constructible. Amplitudes are 3-line constructible if an external particle carries spin or if the scalars in the theory carry equal charge under a global or gauge symmetry. Remarkably, this implies the 3-line constructibility of all gauge theories with fermions and complex scalars in arbitrary representations, all supersymmetric theories, and the standard model. Moreover, all amplitudes in non-renormalizable theories without derivative interactions are constructible; with derivative interactions, a subset of amplitudes is constructible. We illustrate our results with examples from both renormalizable and non-renormalizable theories. Our study demonstrates both the power and limitations of recursion relations as a self-contained formulation of quantum field theory.", "date": "2015-06-17", "date_type": "published", "publication": "Journal of High Energy Physics", "volume": "2015", "number": "6", "publisher": "Springer", "pagerange": "Art. No. 118", "id_number": "CaltechAUTHORS:20150311-194335939", "issn": "1126-6708", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20150311-194335939", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Walter Burke Institute for Theoretical Physics, Caltech" }, { "agency": "Department of Energy (DOE) Early Career Award", "grant_number": "DE-SC0010255" }, { "agency": "Alfred P. Sloan Foundation" }, { "agency": "David and Ellen Lee Postdoctoral Scholarship" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0011632" }, { "agency": "SCOAP3" } ] }, "other_numbering_system": { "items": [ { "id": "2015-005", "name": "CALT-TH" } ] }, "local_group": { "items": [ { "id": "Walter-Burke-Institute-for-Theoretical-Physics" } ] }, "doi": "10.1007/JHEP06(2015)118", "primary_object": { "basename": "1502.05057v1.pdf", "url": "https://authors.library.caltech.edu/records/c075k-m0j21/files/1502.05057v1.pdf" }, "related_objects": [ { "basename": "art_10.1007_JHEP06_2015_118.pdf", "url": "https://authors.library.caltech.edu/records/c075k-m0j21/files/art_10.1007_JHEP06_2015_118.pdf" } ], "resource_type": "article", "pub_year": "2015", "author_list": "Cheung, Clifford; Shen, Chia-Hsien; et el." }, { "id": "https://authors.library.caltech.edu/records/731b6-xq145", "eprint_id": 52886, "eprint_status": "archive", "datestamp": "2023-08-20 06:50:23", "lastmod": "2023-10-18 21:44:29", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Cheung-Clifford", "name": { "family": "Cheung", "given": "Clifford" } }, { "id": "Kampk-K", "name": { "family": "Kampf", "given": "Karol" }, "orcid": "0000-0003-1096-667X" }, { "id": "Novotny-J", "name": { "family": "Novotny", "given": "Jiri" } }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } } ] }, "title": "Effective Field Theories from Soft Limits of Scattering Amplitudes", "ispublished": "pub", "full_text_status": "public", "note": "\u00a9 2015 American Physical Society. \n\nReceived 18 December 2014; published 5 June 2015. \n\nWe thank Nima Arkani-Hamed for the useful discussions and comments. C. C. is supported by a Sloan Research Fellowship and a DOE Early Career Award under Grant No. DE-SC0010255. J. T. is supported in part by the David and Ellen Lee Postdoctoral Scholarship and by the Department of Energy under Grant No. DE-SC0011632. K. K. and J. N. are supported by Project No. PRVOUK P45 and Grants No. LG 13031, No. LH 14035, and No. GA\u010cR 15-18080S.\n\nPublished - PhysRevLett.114.221602.pdf
Submitted - 1412.4095v1.pdf
", "abstract": "We derive scalar effective field theories\u2014Lagrangians, symmetries, and all\u2014from on-shell scattering amplitudes constructed purely from Lorentz invariance, factorization, a fixed power counting order in derivatives, and a fixed order at which amplitudes vanish in the soft limit. These constraints leave free parameters in the amplitude which are the coupling constants of well-known theories: Nambu-Goldstone bosons, Dirac-Born-Infeld scalars, and Galilean internal shift symmetries. Moreover, soft limits imply conditions on the Noether current which can then be inverted to derive Lagrangians for each theory. We propose a natural classification of all scalar effective field theories according to two numbers which encode the derivative power counting and soft behavior of the corresponding amplitudes. In those cases where there is no consistent amplitude, the corresponding theory does not exist.", "date": "2015-06-05", "date_type": "published", "publication": "Physical Review Letters", "volume": "114", "number": "22", "publisher": "American Physical Society", "pagerange": "Art. No. 221602", "id_number": "CaltechAUTHORS:20141216-134735706", "issn": "0031-9007", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20141216-134735706", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Alfred P. Sloan Foundation" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0010255" }, { "agency": "David and Ellen Lee Postdoctoral Scholarship" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0011632" }, { "agency": "Programy rozvoje v\u011bdn\u00edch oblast\u00ed na Univerzit\u011b Karlov\u011b (PRVOUK)", "grant_number": "PRVOUK P45" }, { "agency": "Czech Republic", "grant_number": "LG 13031" }, { "agency": "Czech Republic", "grant_number": "LH 14035" }, { "agency": "Czech Science Foundation", "grant_number": "GA\u010cR 15-18080S" } ] }, "other_numbering_system": { "items": [ { "id": "2014-167", "name": "CALT-TH" } ] }, "local_group": { "items": [ { "id": "Walter-Burke-Institute-for-Theoretical-Physics" } ] }, "doi": "10.1103/PhysRevLett.114.221602", "primary_object": { "basename": "1412.4095v1.pdf", "url": "https://authors.library.caltech.edu/records/731b6-xq145/files/1412.4095v1.pdf" }, "related_objects": [ { "basename": "PhysRevLett.114.221602.pdf", "url": "https://authors.library.caltech.edu/records/731b6-xq145/files/PhysRevLett.114.221602.pdf" } ], "resource_type": "article", "pub_year": "2015", "author_list": "Cheung, Clifford; Kampf, Karol; et el." }, { "id": "https://authors.library.caltech.edu/records/8f9d9-58x40", "eprint_id": 53972, "eprint_status": "archive", "datestamp": "2023-08-20 07:02:10", "lastmod": "2023-10-19 22:27:27", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Arkani-Hamed-N", "name": { "family": "Arkani-Hamed", "given": "Nima" } }, { "id": "Bourjaily-J-L", "name": { "family": "Bourjaily", "given": "Jacob L." } }, { "id": "Cachazo-Freddy", "name": { "family": "Cachazo", "given": "Freddy" } }, { "id": "Postnikov-Alexander", "name": { "family": "Postnikov", "given": "Alexander" } }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } } ] }, "title": "On-Shell Structures of MHV Amplitudes Beyond the Planar Limit", "ispublished": "pub", "full_text_status": "public", "keywords": "Scattering Amplitudes, 1/N Expansion, Supersymmetric gauge theory", "note": "Open Access, \u00a9 2015 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. \n\nArticle funded by SCOAP3. \n\nReceived: May 16, 2015; Accepted: June 8, 2015; Published: June 25, 2015. \n\nWe are grateful to Andrew Hodges and Lauren Williams for helpful iscussions. N.A.-H. is supported by the Department of Energy under grant number DE-FG02-91ER40654; J.L.B. is supported by a MOBILEX grant from the Danish Council for Independent Research; F.C. is supported by the Perimeter Institute for Theoretical Physics which is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research & Innovation; and J.T. is supported in part by the David and Ellen Lee Postdoctoral Scholarship and by the Department of Energy under grant number DE-SC0011632.\n\nPublished - art_10.1007_JHEP06_2015_179.pdf
Submitted - 1412.8475v1.pdf
", "abstract": "We initiate an exploration of on-shell functions in N = 4 SYM beyond the planar limit by providing compact, combinatorial expressions for all leading singularities of MHV amplitudes and showing that they can always be expressed as a positive sum of differently ordered Parke-Taylor tree amplitudes. This is understood in terms of an extended notion of positivity in G(2, n), the Grassmannian of 2-planes in n dimensions: a single on-shell diagram can be associated with many different \"positive\" regions, of which the familiar G_+(2, n) associated with planar diagrams is just one example. The decomposition into Parke-Taylor factors is simply a \"triangulation\" of these extended positive regions. The U(1) decoupling and Kleiss-Kuijf (KK) relations satisfied by the Parke-Taylor amplitudes also follow naturally from this geometric picture. These results suggest that non-planar MHV amplitudes in N = 4 SYM at all loop orders can be expressed as a sum of polylogarithms weighted by color factors and (unordered) Parke-Taylor amplitudes.", "date": "2015-01-22", "date_type": "published", "publication": "Journal of High Energy Physics", "volume": "2015", "number": "6", "publisher": "Springer", "pagerange": "Art. No. 179", "id_number": "CaltechAUTHORS:20150122-082315937", "issn": "1126-6708", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20150122-082315937", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "SCOAP3" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-FG02-91ER40654" }, { "agency": "Danish Council for Independent Research", "grant_number": "MOBILEX" }, { "agency": "Perimeter Institute for Theoretical Physics" }, { "agency": "Industry Canada" }, { "agency": "Province of Ontario, Ministry of Research and Innovation" }, { "agency": "David and Ellen Lee Postdoctoral Scholarship" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0011632" } ] }, "other_numbering_system": { "items": [ { "id": "2014-169", "name": "CALT-TH" } ] }, "local_group": { "items": [ { "id": "Walter-Burke-Institute-for-Theoretical-Physics" } ] }, "doi": "10.1007/JHEP06(2015)179", "primary_object": { "basename": "1412.8475v1.pdf", "url": "https://authors.library.caltech.edu/records/8f9d9-58x40/files/1412.8475v1.pdf" }, "related_objects": [ { "basename": "art_10.1007_JHEP06_2015_179.pdf", "url": "https://authors.library.caltech.edu/records/8f9d9-58x40/files/art_10.1007_JHEP06_2015_179.pdf" } ], "resource_type": "article", "pub_year": "2015", "author_list": "Arkani-Hamed, Nima; Bourjaily, Jacob L.; et el." }, { "id": "https://authors.library.caltech.edu/records/01za7-5wm26", "eprint_id": 54278, "eprint_status": "archive", "datestamp": "2023-08-20 04:08:38", "lastmod": "2023-10-20 15:45:54", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Arkani-Hamed-N", "name": { "family": "Arkani-Hamed", "given": "Nima" } }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } } ] }, "title": "Into the amplituhedron", "ispublished": "pub", "full_text_status": "public", "keywords": "Supersymmetric gauge theory, Scattering Amplitudes", "note": "\u00a9 2014 The Authors.\nPublished for SISSA by Springer.\nThis article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.\n\nArticle funded by SCOAP3.\n\nReceived: September 4, 2014; Accepted: December 9, 2014; Published: December 31, 2014.\n\nWe thank Jake Bourjaily, Freddy Cachazo, Simon Caron-Huot, Johannes Henn, Andrew Hodges, Jan Plefka, Dave Skinner and Matthias Staudacher for stimulating discussions. N. A.-H. is supported by the Department of Energy under grant number DE-FG02-91ER40654. J. T. is supported in part by the David and Ellen Lee Postdoctoral Scholarship and by DOE grant DE-FG03-92-ER40701 and also by NSF grant PHY-0756966.\n\nPublished - art_10.1007_JHEP12_2014_182.pdf
Submitted - 1312.7878v1.pdf
", "abstract": "We initiate an exploration of the physics and geometry of the amplituhedron, starting with the simplest case of the integrand for four-particle scattering in planar N=4 SYM. We show how the textbook structure of the unitarity double-cut follows from the positive geometry. We also use the geometry to expose the behavior of the multicollinear limit, providing a direct motivation for studying the logarithm of the amplitude. In addition to computing the two and three-loop integrands, we explore various lower-dimensional faces of the amplituhedron, thereby computing non-trivial cuts of the integrand to all loop orders.", "date": "2014-12-31", "date_type": "published", "publication": "Journal of High Energy Physics", "volume": "2014", "number": "12", "publisher": "Springer", "pagerange": "Art. No. 182", "id_number": "CaltechAUTHORS:20150202-084533756", "issn": "1126-6708", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20150202-084533756", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Department of Energy (DOE)", "grant_number": "DE-FG02-91ER40654" }, { "agency": "David and Ellen Lee Postdoctoral Scholarship" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-FG03-92-ER40701" }, { "agency": "NSF", "grant_number": "PHY-0756966" }, { "agency": "SCOAP3" } ] }, "doi": "10.1007/JHEP12(2014)182", "primary_object": { "basename": "1312.7878v1.pdf", "url": "https://authors.library.caltech.edu/records/01za7-5wm26/files/1312.7878v1.pdf" }, "related_objects": [ { "basename": "art_10.1007_JHEP12_2014_182.pdf", "url": "https://authors.library.caltech.edu/records/01za7-5wm26/files/art_10.1007_JHEP12_2014_182.pdf" } ], "resource_type": "article", "pub_year": "2014", "author_list": "Arkani-Hamed, Nima and Trnka, Jaroslav" }, { "id": "https://authors.library.caltech.edu/records/0sy20-5zf47", "eprint_id": 52925, "eprint_status": "archive", "datestamp": "2023-08-20 04:08:31", "lastmod": "2023-10-18 21:46:48", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Arkani-Hamed-N", "name": { "family": "Arkani-Hamed", "given": "Nima" } }, { "id": "Bourjaily-J-L", "name": { "family": "Bourjaily", "given": "Jacob L." } }, { "id": "Cachazo-Freddy", "name": { "family": "Cachazo", "given": "Freddy" } }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } } ] }, "title": "Singularity Structure of Maximally Supersymmetric Scattering Amplitudes", "ispublished": "pub", "full_text_status": "public", "note": "\u00a9 2014 American Physical Society. Received 4 October 2014; published 29 December 2014. \n\nWe thank Zvi Bern, Lance Dixon, Enrico Herrmann, Sean Litsey, and James Stankowicz for helpful discussions. N. A.-H. is supported by the Department of Energy under grant number DE-FG02-91ER40654; J. B. is supported by a MOBILEX grant from the Danish Council for Independent Research; F. C. is supported by the Perimeter Institute for Theoretical Physics which is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research & Innovation; and J. T. is supported in part by the David and Ellen Lee Postdoctoral Scholarship and by the Department of Energy under grant number DE-SC0011632.\n\nPublished - PhysRevLett.113.261603.pdf
Submitted - 1410.0354v1.pdf
", "abstract": "We present evidence that loop amplitudes in maximally supersymmetric (N=4) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full N=4 SYM has only logarithmic singularities and is free of any poles at infinity\u2014properties closely related to uniform transcendentality and the UV finiteness of the theory. We also briefly comment on implications for maximal (N=8) supergravity theory (SUGRA).", "date": "2014-12-31", "date_type": "published", "publication": "Physical Review Letters", "volume": "113", "number": "26", "publisher": "American Physical Society", "pagerange": "Art. No. 261603", "id_number": "CaltechAUTHORS:20141216-210539178", "issn": "0031-9007", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20141216-210539178", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Department of Energy (DOE)", "grant_number": "DE-FG02-91ER40654" }, { "agency": "Danish Council for Independent Research" }, { "agency": "Industry Canada" }, { "agency": "Province of Ontario" }, { "agency": "David and Ellen Lee Postdoctoral Scholarship" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-SC0011632" } ] }, "other_numbering_system": { "items": [ { "id": "2014-154", "name": "CALT-TH" } ] }, "local_group": { "items": [ { "id": "Walter-Burke-Institute-for-Theoretical-Physics" } ] }, "doi": "10.1103/PhysRevLett.113.261603", "primary_object": { "basename": "1410.0354v1.pdf", "url": "https://authors.library.caltech.edu/records/0sy20-5zf47/files/1410.0354v1.pdf" }, "related_objects": [ { "basename": "PhysRevLett.113.261603.pdf", "url": "https://authors.library.caltech.edu/records/0sy20-5zf47/files/PhysRevLett.113.261603.pdf" } ], "resource_type": "article", "pub_year": "2014", "author_list": "Arkani-Hamed, Nima; Bourjaily, Jacob L.; et el." }, { "id": "https://authors.library.caltech.edu/records/7gpyv-f1276", "eprint_id": 51997, "eprint_status": "archive", "datestamp": "2023-08-20 03:16:45", "lastmod": "2023-10-18 19:14:36", "type": "article", "metadata_visibility": "show", "creators": { "items": [ { "id": "Arkani-Hamed-N", "name": { "family": "Arkani-Hamed", "given": "Nima" } }, { "id": "Trnka-J", "name": { "family": "Trnka", "given": "Jaroslav" } } ] }, "title": "The Amplituhedron", "ispublished": "pub", "full_text_status": "public", "keywords": "Supersymmetric gauge theory, Scattering Amplitudes", "note": "\u00a9 2013 The Authors.\nPublished for SISSA by Springer.\nThis article is distributed under the terms of the Creative Commons\nAttribution License (CC-BY 4.0), which permits any use, distribution and reproduction in\nany medium, provided the original author(s) and source are credited.\nArticle funded by SCOAP3.\n\nReceived: September 4, 2014;\nAccepted: September 8, 2014;\nPublished: October 6, 2014.\n\nWe thank Zvi Bern, Jake Bourjaily, Freddy Cachazo, Simon Caron-Huot, Clifford Cheung,\nPierre Deligne, Lance Dixon, James Drummond, Sasha Goncharov, Song He, Johannes\nHenn, Andrew Hodges, Yu-tin Huang, Jared Kaplan, Gregory Korchemsky, David\nKosower, Bob MacPherson, Juan Maldacena, Lionel Mason, David McGady, Jan Plefka,\nAlex Postnikov, Amit Sever, Dave Skinner, Mark Spradlin, Matthias Staudacher, Hugh\nThomas, Pedro Vieira, Anastasia Volovich, Lauren Williams and Edward Witten for valuable\ndiscussions. Our research in this area over the past many years owes an enormous\ndebt of gratitude to Edward Witten, Andrew Hodges, and especially Freddy Cachazo and\nJake Bourjaily, without whom this work would not have been possible. N. A.-H. is supported\nby the Department of Energy under grant number DE-FG02-91ER40654. J.T. is\nsupported in part by the David and Ellen Lee Postdoctoral Scholarship and by DOE grant\nDE-FG03-92-ER40701 and also by NSF grant PHY-0756966.\n\nPublished - art_10.1007_JHEP10_2014_030.pdf
Submitted - 1312.2007v1.pdf
", "abstract": "Perturbative scattering amplitudes in gauge theories have remarkable simplicity and hidden infinite dimensional symmetries that are completely obscured in the conventional formulation of field theory using Feynman diagrams. This suggests the existence of a new understanding for scattering amplitudes where locality and unitarity do not play a central role but are derived consequences from a different starting point. In this note we provide such an understanding for N=4 SYM scattering amplitudes in the planar limit, which we identify as \"the volume\" of a new mathematical object \u2014 the Amplituhedron \u2014 generalizing the positive Grassmannian. Locality and unitarity emerge hand-in-hand from positive geometry.", "date": "2014-10-06", "date_type": "published", "publication": "Journal of High Energy Physics", "volume": "2014", "number": "10", "publisher": "Springer", "pagerange": "Art. No. 030", "id_number": "CaltechAUTHORS:20141120-102508525", "issn": "1126-6708", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20141120-102508525", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Department of Energy (DOE)", "grant_number": "DE-FG02-91ER40654" }, { "agency": "David and Ellen Lee Postdoctoral Scholarship" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-FG03-92-ER40701" }, { "agency": "NSF", "grant_number": "PHY-0756966" }, { "agency": "SCOAP3" } ] }, "doi": "10.1007/JHEP10(2014)030", "primary_object": { "basename": "1312.2007v1.pdf", "url": "https://authors.library.caltech.edu/records/7gpyv-f1276/files/1312.2007v1.pdf" }, "related_objects": [ { "basename": "art_10.1007_JHEP10_2014_030.pdf", "url": "https://authors.library.caltech.edu/records/7gpyv-f1276/files/art_10.1007_JHEP10_2014_030.pdf" } ], "resource_type": "article", "pub_year": "2014", "author_list": "Arkani-Hamed, Nima and Trnka, Jaroslav" } ]