On the exactness of soft theorems

Detalhes bibliográficos
Autor(a) principal: Guerrieri, Andrea L. [UNESP]
Data de Publicação: 2017
Outros Autores: Huang, Yu-tin, Li, Zhizhong, Wen, Congkao
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/JHEP12(2017)052
http://hdl.handle.net/11449/175664
Resumo: Soft behaviours of S-matrix for massless theories reflect the underlying symmetry principle that enforces its masslessness. As an expansion in soft momenta, sub-leading soft theorems can arise either due to (I) unique structure of the fundamental vertex or (II) presence of enhanced broken-symmetries. While the former is expected to be modified by infrared or ultraviolet divergences, the latter should remain exact to all orders in perturbation theory. Using current algebra, we clarify such distinction for spontaneously broken (super) Poincaré and (super) conformal symmetry. We compute the UV divergences of DBI, conformal DBI, and A-V theory to verify the exactness of type (II) soft theorems, while type (I) are shown to be broken and the soft-modifying higher-dimensional operators are identified. As further evidence for the exactness of type (II) soft theorems, we consider the α′ expansion of both super and bosonic open strings amplitudes, and verify the validity of the translation symmetry breaking soft-theorems up to O(α′6). Thus the massless S-matrix of string theory “knows” about the presence of D-branes.
id UNSP_23e5f06008a6f51bdf162c1f48f57ef4
oai_identifier_str oai:repositorio.unesp.br:11449/175664
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling On the exactness of soft theoremsEffective Field TheoriesScattering AmplitudesSpontaneous Symmetry BreakingSoft behaviours of S-matrix for massless theories reflect the underlying symmetry principle that enforces its masslessness. As an expansion in soft momenta, sub-leading soft theorems can arise either due to (I) unique structure of the fundamental vertex or (II) presence of enhanced broken-symmetries. While the former is expected to be modified by infrared or ultraviolet divergences, the latter should remain exact to all orders in perturbation theory. Using current algebra, we clarify such distinction for spontaneously broken (super) Poincaré and (super) conformal symmetry. We compute the UV divergences of DBI, conformal DBI, and A-V theory to verify the exactness of type (II) soft theorems, while type (I) are shown to be broken and the soft-modifying higher-dimensional operators are identified. As further evidence for the exactness of type (II) soft theorems, we consider the α′ expansion of both super and bosonic open strings amplitudes, and verify the validity of the translation symmetry breaking soft-theorems up to O(α′6). Thus the massless S-matrix of string theory “knows” about the presence of D-branes.ICTP South American Institute for Fundamental Research IFT-UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco 2 — Barra FundaDepartment of Physics Faculty of Science Chulalongkorn University, 254 Phayathai Road, Thanon, Phayathai, PathumwanI.N.F.N. Sezione di Roma Tor Vergata, Via della Ricerca ScientificaDepartment of Physics and Astronomy National Taiwan University, No. 1 Sec. 4 Roosevelt RoadPhysics Division National Center for Theoretical Sciences National Tsing-Hua University, No. 101, section 2, Kuang-Fu RoadWalter Burke Institute for Theoretical Physics California Institute of Technology, 1200 E California BlvdMani L. Bhaumik Institute for Theoretical Physics Department of Physics and Astronomy UCLA, 475 Portola PlazaICTP South American Institute for Fundamental Research IFT-UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco 2 — Barra FundaUniversidade Estadual Paulista (Unesp)Chulalongkorn UniversityI.N.F.N. Sezione di Roma Tor VergataNational Taiwan UniversityNational Tsing-Hua UniversityCalifornia Institute of TechnologyUCLAGuerrieri, Andrea L. [UNESP]Huang, Yu-tinLi, ZhizhongWen, Congkao2018-12-11T17:16:58Z2018-12-11T17:16:58Z2017-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/JHEP12(2017)052Journal of High Energy Physics, v. 2017, n. 12, 2017.1029-84791126-6708http://hdl.handle.net/11449/17566410.1007/JHEP12(2017)0522-s2.0-850385919322-s2.0-85038591932.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physics1,2271,227info:eu-repo/semantics/openAccess2023-11-21T06:09:27Zoai:repositorio.unesp.br:11449/175664Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:17:36.138285Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On the exactness of soft theorems
title On the exactness of soft theorems
spellingShingle On the exactness of soft theorems
Guerrieri, Andrea L. [UNESP]
Effective Field Theories
Scattering Amplitudes
Spontaneous Symmetry Breaking
title_short On the exactness of soft theorems
title_full On the exactness of soft theorems
title_fullStr On the exactness of soft theorems
title_full_unstemmed On the exactness of soft theorems
title_sort On the exactness of soft theorems
author Guerrieri, Andrea L. [UNESP]
author_facet Guerrieri, Andrea L. [UNESP]
Huang, Yu-tin
Li, Zhizhong
Wen, Congkao
author_role author
author2 Huang, Yu-tin
Li, Zhizhong
Wen, Congkao
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Chulalongkorn University
I.N.F.N. Sezione di Roma Tor Vergata
National Taiwan University
National Tsing-Hua University
California Institute of Technology
UCLA
dc.contributor.author.fl_str_mv Guerrieri, Andrea L. [UNESP]
Huang, Yu-tin
Li, Zhizhong
Wen, Congkao
dc.subject.por.fl_str_mv Effective Field Theories
Scattering Amplitudes
Spontaneous Symmetry Breaking
topic Effective Field Theories
Scattering Amplitudes
Spontaneous Symmetry Breaking
description Soft behaviours of S-matrix for massless theories reflect the underlying symmetry principle that enforces its masslessness. As an expansion in soft momenta, sub-leading soft theorems can arise either due to (I) unique structure of the fundamental vertex or (II) presence of enhanced broken-symmetries. While the former is expected to be modified by infrared or ultraviolet divergences, the latter should remain exact to all orders in perturbation theory. Using current algebra, we clarify such distinction for spontaneously broken (super) Poincaré and (super) conformal symmetry. We compute the UV divergences of DBI, conformal DBI, and A-V theory to verify the exactness of type (II) soft theorems, while type (I) are shown to be broken and the soft-modifying higher-dimensional operators are identified. As further evidence for the exactness of type (II) soft theorems, we consider the α′ expansion of both super and bosonic open strings amplitudes, and verify the validity of the translation symmetry breaking soft-theorems up to O(α′6). Thus the massless S-matrix of string theory “knows” about the presence of D-branes.
publishDate 2017
dc.date.none.fl_str_mv 2017-12-01
2018-12-11T17:16:58Z
2018-12-11T17:16:58Z
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/JHEP12(2017)052
Journal of High Energy Physics, v. 2017, n. 12, 2017.
1029-8479
1126-6708
http://hdl.handle.net/11449/175664
10.1007/JHEP12(2017)052
2-s2.0-85038591932
2-s2.0-85038591932.pdf
url http://dx.doi.org/10.1007/JHEP12(2017)052
http://hdl.handle.net/11449/175664
identifier_str_mv Journal of High Energy Physics, v. 2017, n. 12, 2017.
1029-8479
1126-6708
10.1007/JHEP12(2017)052
2-s2.0-85038591932
2-s2.0-85038591932.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_ 1808128917644509184