Resummed heat kernel and effective action for Yukawa and QED

Autores
Franchino Viñas, Sebastián Alberto; García Pérez, C.; Mazzitelli, Francisco Diego; Vitagliano, V.; Wainstein Haimovichi, Ulises
Año de publicación
2024
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this letter, we prove the existence of resummed expressions for the diagonal of the heat kernel and theeffective action of a quantum field which interacts with a scalar or an electromagnetic background. Working inan arbitrary number of spacetime dimensions, we propose an Ansatz beyond the Schwinger–DeWitt proposal,effectively resumming an infinite number of invariants which can be constructed from powers of the background,as well as its first and second derivatives in the Yukawa case. This provides a proof of the recent conjecture that ̃all terms containing the invariants and in the proper-time series expansion of the SQED effectiveaction can be resummed. Possible generalizations and several applications are also discussed—in particular, the existence of an analogue of the Schwinger effect for Yukawa couplings.
Fil: Franchino Viñas, Sebastián Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Università degli Studi di Genova; Italia
Fil: García Pérez, C.. Università degli Studi di Genova; Italia
Fil: Mazzitelli, Francisco Diego. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Vitagliano, V.. Università degli Studi di Genova; Italia
Fil: Wainstein Haimovichi, Ulises. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Heat kernel
Quantum field theory
Schwinger effect
Scalar QED
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/238430
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Resummed heat kernel and effective action for Yukawa and QEDFranchino Viñas, Sebastián AlbertoGarcía Pérez, C.Mazzitelli, Francisco DiegoVitagliano, V.Wainstein Haimovichi, UlisesHeat kernelQuantum field theorySchwinger effectScalar QEDhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this letter, we prove the existence of resummed expressions for the diagonal of the heat kernel and theeffective action of a quantum field which interacts with a scalar or an electromagnetic background. Working inan arbitrary number of spacetime dimensions, we propose an Ansatz beyond the Schwinger–DeWitt proposal,effectively resumming an infinite number of invariants which can be constructed from powers of the background,as well as its first and second derivatives in the Yukawa case. This provides a proof of the recent conjecture that ̃all terms containing the invariants and in the proper-time series expansion of the SQED effectiveaction can be resummed. Possible generalizations and several applications are also discussed—in particular, the existence of an analogue of the Schwinger effect for Yukawa couplings.Fil: Franchino Viñas, Sebastián Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Università degli Studi di Genova; ItaliaFil: García Pérez, C.. Università degli Studi di Genova; ItaliaFil: Mazzitelli, Francisco Diego. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Vitagliano, V.. Università degli Studi di Genova; ItaliaFil: Wainstein Haimovichi, Ulises. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaElsevier Science2024-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/238430Franchino Viñas, Sebastián Alberto; García Pérez, C.; Mazzitelli, Francisco Diego; Vitagliano, V.; Wainstein Haimovichi, Ulises; Resummed heat kernel and effective action for Yukawa and QED; Elsevier Science; Physics Letters B; 854; 5-2024; 1-70370-2693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physletb.2024.138684info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:26:19Zoai:ri.conicet.gov.ar:11336/238430instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:26:19.878CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Resummed heat kernel and effective action for Yukawa and QED
title Resummed heat kernel and effective action for Yukawa and QED
spellingShingle Resummed heat kernel and effective action for Yukawa and QED
Franchino Viñas, Sebastián Alberto
Heat kernel
Quantum field theory
Schwinger effect
Scalar QED
title_short Resummed heat kernel and effective action for Yukawa and QED
title_full Resummed heat kernel and effective action for Yukawa and QED
title_fullStr Resummed heat kernel and effective action for Yukawa and QED
title_full_unstemmed Resummed heat kernel and effective action for Yukawa and QED
title_sort Resummed heat kernel and effective action for Yukawa and QED
dc.creator.none.fl_str_mv Franchino Viñas, Sebastián Alberto
García Pérez, C.
Mazzitelli, Francisco Diego
Vitagliano, V.
Wainstein Haimovichi, Ulises
author Franchino Viñas, Sebastián Alberto
author_facet Franchino Viñas, Sebastián Alberto
García Pérez, C.
Mazzitelli, Francisco Diego
Vitagliano, V.
Wainstein Haimovichi, Ulises
author_role author
author2 García Pérez, C.
Mazzitelli, Francisco Diego
Vitagliano, V.
Wainstein Haimovichi, Ulises
author2_role author
author
author
author
dc.subject.none.fl_str_mv Heat kernel
Quantum field theory
Schwinger effect
Scalar QED
topic Heat kernel
Quantum field theory
Schwinger effect
Scalar QED
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this letter, we prove the existence of resummed expressions for the diagonal of the heat kernel and theeffective action of a quantum field which interacts with a scalar or an electromagnetic background. Working inan arbitrary number of spacetime dimensions, we propose an Ansatz beyond the Schwinger–DeWitt proposal,effectively resumming an infinite number of invariants which can be constructed from powers of the background,as well as its first and second derivatives in the Yukawa case. This provides a proof of the recent conjecture that ̃all terms containing the invariants and in the proper-time series expansion of the SQED effectiveaction can be resummed. Possible generalizations and several applications are also discussed—in particular, the existence of an analogue of the Schwinger effect for Yukawa couplings.
Fil: Franchino Viñas, Sebastián Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Università degli Studi di Genova; Italia
Fil: García Pérez, C.. Università degli Studi di Genova; Italia
Fil: Mazzitelli, Francisco Diego. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Vitagliano, V.. Università degli Studi di Genova; Italia
Fil: Wainstein Haimovichi, Ulises. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description In this letter, we prove the existence of resummed expressions for the diagonal of the heat kernel and theeffective action of a quantum field which interacts with a scalar or an electromagnetic background. Working inan arbitrary number of spacetime dimensions, we propose an Ansatz beyond the Schwinger–DeWitt proposal,effectively resumming an infinite number of invariants which can be constructed from powers of the background,as well as its first and second derivatives in the Yukawa case. This provides a proof of the recent conjecture that ̃all terms containing the invariants and in the proper-time series expansion of the SQED effectiveaction can be resummed. Possible generalizations and several applications are also discussed—in particular, the existence of an analogue of the Schwinger effect for Yukawa couplings.
publishDate 2024
dc.date.none.fl_str_mv 2024-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/238430
Franchino Viñas, Sebastián Alberto; García Pérez, C.; Mazzitelli, Francisco Diego; Vitagliano, V.; Wainstein Haimovichi, Ulises; Resummed heat kernel and effective action for Yukawa and QED; Elsevier Science; Physics Letters B; 854; 5-2024; 1-7
0370-2693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/238430
identifier_str_mv Franchino Viñas, Sebastián Alberto; García Pérez, C.; Mazzitelli, Francisco Diego; Vitagliano, V.; Wainstein Haimovichi, Ulises; Resummed heat kernel and effective action for Yukawa and QED; Elsevier Science; Physics Letters B; 854; 5-2024; 1-7
0370-2693
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physletb.2024.138684
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614264330911744
score 13.070432

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