Three-point functions and su(1 vertical bar 1) spin chains

Detalhes bibliográficos
Autor(a) principal: Caetano, Joao
Data de Publicação: 2014
Outros Autores: Fleury, Thiago [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/JHEP09(2014)173
http://hdl.handle.net/11449/116235
Resumo: We compute three-point functions of general operators in the su(1 vertical bar 1) sector of planar N = 4 SYM in the weak coupling regime, both at tree-level and one-loop. Each operator is represented by a closed spin chain Bethe state characterized by a set of momenta parameterizing the fermionic excitations. At one-loop, we calculate both the two-loop Bethe eigenstates and the relevant Feynman diagrams for the three-point functions within our setup. The final expression for the structure constants is surprisingly simple and hints at a possible form factor based approach yet to be unveiled.
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spelling Three-point functions and su(1 vertical bar 1) spin chainsSupersymmetric gauge theory1/N ExpansionBethe AnsatzIntegrable Field TheoriesWe compute three-point functions of general operators in the su(1 vertical bar 1) sector of planar N = 4 SYM in the weak coupling regime, both at tree-level and one-loop. Each operator is represented by a closed spin chain Bethe state characterized by a set of momenta parameterizing the fermionic excitations. At one-loop, we calculate both the two-loop Bethe eigenstates and the relevant Feynman diagrams for the three-point functions within our setup. The final expression for the structure constants is surprisingly simple and hints at a possible form factor based approach yet to be unveiled.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FCT fellowshipProvince of Ontario through ERA grantGovernment of Canada through NSERCProvince of Ontario through MRIFCTPerimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, CanadaUniv Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, CanadaUniv Waterloo, Guelph Waterloo Phys Inst, Waterloo, ON N2L 3G1, CanadaUniv Porto, Fac Ciencias, Ctr Fis Porto, P-4169007 Oporto, PortugalUniv Porto, Fac Ciencias, Dept Fis & Astron, P-4169007 Oporto, PortugalUNESP Univ Estadual Paulista, ICTP South Amer Inst Fundamental Res, Inst Fis Teor, BR-01140070 Sao Paulo, BrazilUNESP Univ Estadual Paulista, ICTP South Amer Inst Fundamental Res, Inst Fis Teor, BR-01140070 Sao Paulo, BrazilFAPESP: 11/11973-4FAPESP: 13/12416-7FAPESP: 09/50775-3FCT fellowshipSFRH/BD/69084/2010Province of Ontario through ERA grantER 06-02-293FCTPEst-OE/FIS/UI0044/2011PTDC/FIS/099293/2008CERN/FP/116358/2010SpringerPerimeter Inst Theoret PhysUniv WaterlooUniv PortoUniversidade Estadual Paulista (Unesp)Caetano, JoaoFleury, Thiago [UNESP]2015-03-18T15:52:48Z2015-03-18T15:52:48Z2014-09-29info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article35application/pdfhttp://dx.doi.org/10.1007/JHEP09(2014)173Journal Of High Energy Physics. New York: Springer, n. 9, 35 p., 2014.1029-8479http://hdl.handle.net/11449/11623510.1007/JHEP09(2014)173WOS:000343900500001WOS000343900500001.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of High Energy Physics5.5411,227info:eu-repo/semantics/openAccess2023-09-30T06:05:50Zoai:repositorio.unesp.br:11449/116235Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:35:03.882345Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Three-point functions and su(1 vertical bar 1) spin chains
title Three-point functions and su(1 vertical bar 1) spin chains
spellingShingle Three-point functions and su(1 vertical bar 1) spin chains
Caetano, Joao
Supersymmetric gauge theory
1/N Expansion
Bethe Ansatz
Integrable Field Theories
title_short Three-point functions and su(1 vertical bar 1) spin chains
title_full Three-point functions and su(1 vertical bar 1) spin chains
title_fullStr Three-point functions and su(1 vertical bar 1) spin chains
title_full_unstemmed Three-point functions and su(1 vertical bar 1) spin chains
title_sort Three-point functions and su(1 vertical bar 1) spin chains
author Caetano, Joao
author_facet Caetano, Joao
Fleury, Thiago [UNESP]
author_role author
author2 Fleury, Thiago [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Perimeter Inst Theoret Phys
Univ Waterloo
Univ Porto
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Caetano, Joao
Fleury, Thiago [UNESP]
dc.subject.por.fl_str_mv Supersymmetric gauge theory
1/N Expansion
Bethe Ansatz
Integrable Field Theories
topic Supersymmetric gauge theory
1/N Expansion
Bethe Ansatz
Integrable Field Theories
description We compute three-point functions of general operators in the su(1 vertical bar 1) sector of planar N = 4 SYM in the weak coupling regime, both at tree-level and one-loop. Each operator is represented by a closed spin chain Bethe state characterized by a set of momenta parameterizing the fermionic excitations. At one-loop, we calculate both the two-loop Bethe eigenstates and the relevant Feynman diagrams for the three-point functions within our setup. The final expression for the structure constants is surprisingly simple and hints at a possible form factor based approach yet to be unveiled.
publishDate 2014
dc.date.none.fl_str_mv 2014-09-29
2015-03-18T15:52:48Z
2015-03-18T15:52:48Z
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/JHEP09(2014)173
Journal Of High Energy Physics. New York: Springer, n. 9, 35 p., 2014.
1029-8479
http://hdl.handle.net/11449/116235
10.1007/JHEP09(2014)173
WOS:000343900500001
WOS000343900500001.pdf
url http://dx.doi.org/10.1007/JHEP09(2014)173
http://hdl.handle.net/11449/116235
identifier_str_mv Journal Of High Energy Physics. New York: Springer, n. 9, 35 p., 2014.
1029-8479
10.1007/JHEP09(2014)173
WOS:000343900500001
WOS000343900500001.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal Of High Energy Physics
5.541
1,227
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 35
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
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_ 1808128250285654016

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