Loop corrected soft photon theorem as a Ward identity
Resumen:
Recently Sahoo and Sen obtained a series of remarkable results concerning subleading soft photon and graviton theorems in four dimensions. Even though the S-matrix is infrared divergent, they have shown that the subleading soft theorems are well defined and exact statements in QED and perturbative Quantum Gravity. However unlike the well studied Cachazo-Strominger soft theorems in tree-level amplitudes, the new subleading soft expansion is at the order ln ω (where ω is the soft frequency) and the corresponding soft factors structurally show completely different properties then their tree-level counterparts. Whence it is natural to ask if these theorems are associated to asymptotic symmetries of the S-matrix. We consider this question in the context of sub-leading soft photon theorem in scalar QED and show that there are indeed an infinity of conservation laws whose Ward identities are equivalent to the loop-corrected soft photon theorem. This shows that in the case of four dimensional QED, the leading and sub-leading soft photon theorems are equivalent to Ward identities of (asymptotic) charges.
2019 | |
Gauge Symmetry Global Symmetries Scattering Amplitudes |
|
Inglés | |
Universidad de la República | |
COLIBRI | |
https://hdl.handle.net/20.500.12008/27230 | |
Acceso abierto | |
Licencia Creative Commons Atribución (CC - By 4.0) |
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---|---|
author | Campiglia Curcho, Miguel |
author2 | Laddha, A. |
author2_role | author |
author_facet | Campiglia Curcho, Miguel Laddha, A. |
author_role | author |
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collection | COLIBRI |
dc.contributor.filiacion.none.fl_str_mv | Campiglia Curcho Miguel, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física. Ladda A. |
dc.creator.none.fl_str_mv | Campiglia Curcho, Miguel Laddha, A. |
dc.date.accessioned.none.fl_str_mv | 2021-04-23T14:44:29Z |
dc.date.available.none.fl_str_mv | 2021-04-23T14:44:29Z |
dc.date.issued.none.fl_str_mv | 2019 |
dc.description.abstract.none.fl_txt_mv | Recently Sahoo and Sen obtained a series of remarkable results concerning subleading soft photon and graviton theorems in four dimensions. Even though the S-matrix is infrared divergent, they have shown that the subleading soft theorems are well defined and exact statements in QED and perturbative Quantum Gravity. However unlike the well studied Cachazo-Strominger soft theorems in tree-level amplitudes, the new subleading soft expansion is at the order ln ω (where ω is the soft frequency) and the corresponding soft factors structurally show completely different properties then their tree-level counterparts. Whence it is natural to ask if these theorems are associated to asymptotic symmetries of the S-matrix. We consider this question in the context of sub-leading soft photon theorem in scalar QED and show that there are indeed an infinity of conservation laws whose Ward identities are equivalent to the loop-corrected soft photon theorem. This shows that in the case of four dimensional QED, the leading and sub-leading soft photon theorems are equivalent to Ward identities of (asymptotic) charges. |
dc.format.extent.es.fl_str_mv | 31 h. |
dc.format.mimetype.es.fl_str_mv | application/pdf |
dc.identifier.citation.es.fl_str_mv | Campiglia Curcho, M y Ladda, A. "Loop corrected soft photon theorem as a Ward identity". Journal of High Energy Physics. [en línea] 2019:287. 31 h..DOI: 10.1007/JHEP05(2019)287 |
dc.identifier.doi.none.fl_str_mv | 10.1007/JHEP10(2019)287 |
dc.identifier.issn.none.fl_str_mv | 1029-8479 |
dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/27230 |
dc.language.iso.none.fl_str_mv | en eng |
dc.publisher.es.fl_str_mv | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
dc.relation.ispartof.en.fl_str_mv | Journal of High Energy Physics, 2019:287 |
dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución (CC - By 4.0) |
dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
dc.subject.en.fl_str_mv | Gauge Symmetry Global Symmetries Scattering Amplitudes |
dc.title.none.fl_str_mv | Loop corrected soft photon theorem as a Ward identity |
dc.type.es.fl_str_mv | Artículo |
dc.type.none.fl_str_mv | info:eu-repo/semantics/article |
dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
description | Recently Sahoo and Sen obtained a series of remarkable results concerning subleading soft photon and graviton theorems in four dimensions. Even though the S-matrix is infrared divergent, they have shown that the subleading soft theorems are well defined and exact statements in QED and perturbative Quantum Gravity. However unlike the well studied Cachazo-Strominger soft theorems in tree-level amplitudes, the new subleading soft expansion is at the order ln ω (where ω is the soft frequency) and the corresponding soft factors structurally show completely different properties then their tree-level counterparts. Whence it is natural to ask if these theorems are associated to asymptotic symmetries of the S-matrix. We consider this question in the context of sub-leading soft photon theorem in scalar QED and show that there are indeed an infinity of conservation laws whose Ward identities are equivalent to the loop-corrected soft photon theorem. This shows that in the case of four dimensional QED, the leading and sub-leading soft photon theorems are equivalent to Ward identities of (asymptotic) charges. |
eu_rights_str_mv | openAccess |
format | article |
id | COLIBRI_30bf56c38af98818ee3182eed99608f9 |
identifier_str_mv | Campiglia Curcho, M y Ladda, A. "Loop corrected soft photon theorem as a Ward identity". Journal of High Energy Physics. [en línea] 2019:287. 31 h..DOI: 10.1007/JHEP05(2019)287 1029-8479 10.1007/JHEP10(2019)287 |
instacron_str | Universidad de la República |
institution | Universidad de la República |
instname_str | Universidad de la República |
language | eng |
language_invalid_str_mv | en |
network_acronym_str | COLIBRI |
network_name_str | COLIBRI |
oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/27230 |
publishDate | 2019 |
reponame_str | COLIBRI |
repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
repository.name.fl_str_mv | COLIBRI - Universidad de la República |
repository_id_str | 4771 |
rights_invalid_str_mv | Licencia Creative Commons Atribución (CC - By 4.0) |
spelling | Campiglia Curcho Miguel, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.Ladda A.2021-04-23T14:44:29Z2021-04-23T14:44:29Z2019Campiglia Curcho, M y Ladda, A. "Loop corrected soft photon theorem as a Ward identity". Journal of High Energy Physics. [en línea] 2019:287. 31 h..DOI: 10.1007/JHEP05(2019)2871029-8479https://hdl.handle.net/20.500.12008/2723010.1007/JHEP10(2019)287Recently Sahoo and Sen obtained a series of remarkable results concerning subleading soft photon and graviton theorems in four dimensions. Even though the S-matrix is infrared divergent, they have shown that the subleading soft theorems are well defined and exact statements in QED and perturbative Quantum Gravity. However unlike the well studied Cachazo-Strominger soft theorems in tree-level amplitudes, the new subleading soft expansion is at the order ln ω (where ω is the soft frequency) and the corresponding soft factors structurally show completely different properties then their tree-level counterparts. Whence it is natural to ask if these theorems are associated to asymptotic symmetries of the S-matrix. We consider this question in the context of sub-leading soft photon theorem in scalar QED and show that there are indeed an infinity of conservation laws whose Ward identities are equivalent to the loop-corrected soft photon theorem. This shows that in the case of four dimensional QED, the leading and sub-leading soft photon theorems are equivalent to Ward identities of (asymptotic) charges.Submitted by Verdun Juan Pablo (jverdun@fcien.edu.uy) on 2021-04-21T17:32:30Z No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) 10.1007JHEP10(2019)287.pdf: 628701 bytes, checksum: dc5cdceed5baecf8d5729b84248807d3 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2021-04-23T14:36:07Z (GMT) No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) 10.1007JHEP10(2019)287.pdf: 628701 bytes, checksum: dc5cdceed5baecf8d5729b84248807d3 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2021-04-23T14:44:29Z (GMT). No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) 10.1007JHEP10(2019)287.pdf: 628701 bytes, checksum: dc5cdceed5baecf8d5729b84248807d3 (MD5) Previous issue date: 201931 h.application/pdfenengScuola Internazionale Superiore di Studi Avanzati (SISSA)Journal of High Energy Physics, 2019:287Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución (CC - By 4.0)Gauge SymmetryGlobal SymmetriesScattering AmplitudesLoop corrected soft photon theorem as a Ward identityArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaCampiglia Curcho, MiguelLaddha, A.LICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/27230/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-844http://localhost:8080/xmlui/bitstream/20.500.12008/27230/2/license_urla0ebbeafb9d2ec7cbb19d7137ebc392cMD52license_textlicense_texttext/html; charset=utf-838395http://localhost:8080/xmlui/bitstream/20.500.12008/27230/3/license_textd606c60c5d78967c4ed7a729e5bb402fMD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
spellingShingle | Loop corrected soft photon theorem as a Ward identity Campiglia Curcho, Miguel Gauge Symmetry Global Symmetries Scattering Amplitudes |
status_str | publishedVersion |
title | Loop corrected soft photon theorem as a Ward identity |
title_full | Loop corrected soft photon theorem as a Ward identity |
title_fullStr | Loop corrected soft photon theorem as a Ward identity |
title_full_unstemmed | Loop corrected soft photon theorem as a Ward identity |
title_short | Loop corrected soft photon theorem as a Ward identity |
title_sort | Loop corrected soft photon theorem as a Ward identity |
topic | Gauge Symmetry Global Symmetries Scattering Amplitudes |
url | https://hdl.handle.net/20.500.12008/27230 |