Resummed heat kernel and effective action for Yukawa and QED

Autores
Franchino Viñas, Sebastián Alberto; García Pérez, César; Mazzitelli, Francisco Diego; Vitagliano, V.incenzo; 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 the effective action of a quantum field which interacts with a scalar or an electromagnetic background. Working in an 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 effective action 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.
Instituto de Física La Plata
Materia
Física
Resummations in quantum field theory
Yukawa and electromagnetic background fields
Scalar quantum electrodynamics
Pair creation and Schwinger effect
Resummed heat kernel
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/167239
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/167239
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Resummed heat kernel and effective action for Yukawa and QEDFranchino Viñas, Sebastián AlbertoGarcía Pérez, CésarMazzitelli, Francisco DiegoVitagliano, V.incenzoWainstein Haimovichi, UlisesFísicaResummations in quantum field theoryYukawa and electromagnetic background fieldsScalar quantum electrodynamicsPair creation and Schwinger effectResummed heat kernelIn this letter, we prove the existence of resummed expressions for the diagonal of the heat kernel and the effective action of a quantum field which interacts with a scalar or an electromagnetic background. Working in an 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 effective action 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.Instituto de Física La Plata2024-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/167239enginfo:eu-repo/semantics/altIdentifier/issn/0370-2693info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physletb.2024.138684info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:44:31Zoai:sedici.unlp.edu.ar:10915/167239Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:44:31.828SEDICI (UNLP) - Universidad Nacional de La Platafalse
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
Física
Resummations in quantum field theory
Yukawa and electromagnetic background fields
Scalar quantum electrodynamics
Pair creation and Schwinger effect
Resummed heat kernel
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, César
Mazzitelli, Francisco Diego
Vitagliano, V.incenzo
Wainstein Haimovichi, Ulises
author Franchino Viñas, Sebastián Alberto
author_facet Franchino Viñas, Sebastián Alberto
García Pérez, César
Mazzitelli, Francisco Diego
Vitagliano, V.incenzo
Wainstein Haimovichi, Ulises
author_role author
author2 García Pérez, César
Mazzitelli, Francisco Diego
Vitagliano, V.incenzo
Wainstein Haimovichi, Ulises
author2_role author
author
author
author
dc.subject.none.fl_str_mv Física
Resummations in quantum field theory
Yukawa and electromagnetic background fields
Scalar quantum electrodynamics
Pair creation and Schwinger effect
Resummed heat kernel
topic Física
Resummations in quantum field theory
Yukawa and electromagnetic background fields
Scalar quantum electrodynamics
Pair creation and Schwinger effect
Resummed heat kernel
dc.description.none.fl_txt_mv In this letter, we prove the existence of resummed expressions for the diagonal of the heat kernel and the effective action of a quantum field which interacts with a scalar or an electromagnetic background. Working in an 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 effective action 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.
Instituto de Física La Plata
description In this letter, we prove the existence of resummed expressions for the diagonal of the heat kernel and the effective action of a quantum field which interacts with a scalar or an electromagnetic background. Working in an 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 effective action 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 2024-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/167239
url http://sedici.unlp.edu.ar/handle/10915/167239
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0370-2693
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physletb.2024.138684
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.070432

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