Hexagonalization of correlation functions II: two-particle contributions
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP02(2018)177 http://hdl.handle.net/11449/175969 |
Resumo: | In this work, we compute one-loop planar five-point functions in N= 4 super-Yang-Mills using integrability. As in the previous work, we decompose the correlation functions into hexagon form factors and glue them using the weight factors which depend on the cross-ratios. The main new ingredient in the computation, as compared to the four-point functions studied in the previous paper, is the two-particle mirror contribution. We develop techniques to evaluate it and find agreement with the perturbative results in all the cases we analyzed. In addition, we consider next-to-extremal four-point functions, which are known to be protected, and show that the sum of one-particle and two-particle contributions at one loop adds up to zero as expected. The tools developed in this work would be useful for computing higher-particle contributions which would be relevant for more complicated quantities such as higher-loop corrections and non-planar correlators. |
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Repositório Institucional da UNESP |
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Hexagonalization of correlation functions II: two-particle contributions1/N ExpansionIntegrable Field TheoriesSupersymmetric Gauge TheoryIn this work, we compute one-loop planar five-point functions in N= 4 super-Yang-Mills using integrability. As in the previous work, we decompose the correlation functions into hexagon form factors and glue them using the weight factors which depend on the cross-ratios. The main new ingredient in the computation, as compared to the four-point functions studied in the previous paper, is the two-particle mirror contribution. We develop techniques to evaluate it and find agreement with the perturbative results in all the cases we analyzed. In addition, we consider next-to-extremal four-point functions, which are known to be protected, and show that the sum of one-particle and two-particle contributions at one loop adds up to zero as expected. The tools developed in this work would be useful for computing higher-particle contributions which would be relevant for more complicated quantities such as higher-loop corrections and non-planar correlators.Instituto de Física Teórica UNESP — Univ. Estadual Paulista ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271Laboratoire de Physique Théorique de l’Ecole Normale Supérieure et l’Université Paris-VI, 24 rue LhomondInternational Institute of Physics Federal University of Rio Grande do Norte, Campus Universitário, Lagoa NovaSchool of Natural Sciences Institute for Advanced StudyInstituto de Física Teórica UNESP — Univ. Estadual Paulista ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271Universidade Estadual Paulista (Unesp)Laboratoire de Physique Théorique de l’Ecole Normale Supérieure et l’Université Paris-VIFederal University of Rio Grande do NorteInstitute for Advanced StudyFleury, Thiago [UNESP]Komatsu, Shota2018-12-11T17:18:22Z2018-12-11T17:18:22Z2018-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/JHEP02(2018)177Journal of High Energy Physics, v. 2018, n. 2, 2018.1029-84791126-6708http://hdl.handle.net/11449/17596910.1007/JHEP02(2018)1772-s2.0-850427420652-s2.0-85042742065.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physics1,2271,227info:eu-repo/semantics/openAccess2023-12-02T06:16:28Zoai:repositorio.unesp.br:11449/175969Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:19:40.876662Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Hexagonalization of correlation functions II: two-particle contributions |
title |
Hexagonalization of correlation functions II: two-particle contributions |
spellingShingle |
Hexagonalization of correlation functions II: two-particle contributions Fleury, Thiago [UNESP] 1/N Expansion Integrable Field Theories Supersymmetric Gauge Theory |
title_short |
Hexagonalization of correlation functions II: two-particle contributions |
title_full |
Hexagonalization of correlation functions II: two-particle contributions |
title_fullStr |
Hexagonalization of correlation functions II: two-particle contributions |
title_full_unstemmed |
Hexagonalization of correlation functions II: two-particle contributions |
title_sort |
Hexagonalization of correlation functions II: two-particle contributions |
author |
Fleury, Thiago [UNESP] |
author_facet |
Fleury, Thiago [UNESP] Komatsu, Shota |
author_role |
author |
author2 |
Komatsu, Shota |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Laboratoire de Physique Théorique de l’Ecole Normale Supérieure et l’Université Paris-VI Federal University of Rio Grande do Norte Institute for Advanced Study |
dc.contributor.author.fl_str_mv |
Fleury, Thiago [UNESP] Komatsu, Shota |
dc.subject.por.fl_str_mv |
1/N Expansion Integrable Field Theories Supersymmetric Gauge Theory |
topic |
1/N Expansion Integrable Field Theories Supersymmetric Gauge Theory |
description |
In this work, we compute one-loop planar five-point functions in N= 4 super-Yang-Mills using integrability. As in the previous work, we decompose the correlation functions into hexagon form factors and glue them using the weight factors which depend on the cross-ratios. The main new ingredient in the computation, as compared to the four-point functions studied in the previous paper, is the two-particle mirror contribution. We develop techniques to evaluate it and find agreement with the perturbative results in all the cases we analyzed. In addition, we consider next-to-extremal four-point functions, which are known to be protected, and show that the sum of one-particle and two-particle contributions at one loop adds up to zero as expected. The tools developed in this work would be useful for computing higher-particle contributions which would be relevant for more complicated quantities such as higher-loop corrections and non-planar correlators. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T17:18:22Z 2018-12-11T17:18:22Z 2018-02-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/JHEP02(2018)177 Journal of High Energy Physics, v. 2018, n. 2, 2018. 1029-8479 1126-6708 http://hdl.handle.net/11449/175969 10.1007/JHEP02(2018)177 2-s2.0-85042742065 2-s2.0-85042742065.pdf |
url |
http://dx.doi.org/10.1007/JHEP02(2018)177 http://hdl.handle.net/11449/175969 |
identifier_str_mv |
Journal of High Energy Physics, v. 2018, n. 2, 2018. 1029-8479 1126-6708 10.1007/JHEP02(2018)177 2-s2.0-85042742065 2-s2.0-85042742065.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of High Energy Physics 1,227 1,227 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129052477751296 |