Chiral and isospin breaking in the two-flavor Schwinger Model

10 pages, 4 figures, 3 tables. v2 and v3: edit to match published version

Detalles Bibliográficos
Autores: Albandea Jordan, David, Hernández Gamazo, Pilar
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/396825
Acceso en línea:http://hdl.handle.net/10261/396825
http://arxiv.org/abs/2501.04674v3
Access Level:acceso abierto
Palabra clave:Bosonization
Chiral perturbation theory
Lattice QCD
Lattice field theory
Lattice gauge theory
Nonlinear sigma model
Quantum electrodynamics
Quantum field theory
Sigma models
Spontaneous symmetry breaking
Strong interaction
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spelling Chiral and isospin breaking in the two-flavor Schwinger ModelAlbandea Jordan, DavidHernández Gamazo, PilarBosonizationChiral perturbation theoryLattice QCDLattice field theoryLattice gauge theoryNonlinear sigma modelQuantum electrodynamicsQuantum field theorySigma modelsSpontaneous symmetry breakingStrong interaction10 pages, 4 figures, 3 tables. v2 and v3: edit to match published versionThe Schwinger model with two massive fermions is a nontrivial theory for which no analytical solution is known. The strong coupling limit of the theory allows for different semiclassical approximations to extract properties of its low-lying spectrum. In particular, analytical results exist for the fermion condensate, the fermion mass dependence of the pseudoscalar meson mass or its decay constant. These approximations, nonetheless, are not able to quantitatively predict isospin breaking effects in the light spectrum, for example. In this paper we use lattice simulations to test various analytical predictions, and study isospin breaking effects from nondegenerate quark masses. We also introduce a low-energy effective field theory based on a nonlinear $\sigma$ model with a dilaton field, which leads to the correct fermion mass dependence of the pion mass, the correct $\sigma$-to-$\pi$ mass ratio and a prediction of the isospin breaking effects, which we test numerically.We thank J. Baeza-Ballesteros, A. Ramos, L. Del Debbio and A. Donini for useful discussions. Our activities are partially funded by the Staff Exchange Grant Agreement No. 101086085-ASYMMETRY, by the Spanish Ministerio de Ciencia e Innovación project PID2020–113644 GB-I00 and PID2023-148162NB-C21, and by Generalitat Valenciana through the Grants No. CIPROM/2022/69 and No. PROMETEO/2021/083-03.Peer reviewedAmerican Physical SocietyConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252025info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/396825http://arxiv.org/abs/2501.04674v3reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MICU//PID2020–113644 GB-I00info:eu-repo/grantAgreement/MICU//PID2023-148162NB-C21info:eu-repo/grantAgreement/GVA//CIPROMinfo:eu-repo/grantAgreement/GVA//PROMETEOhttps://doi.org/10.1103/PhysRevD.111.074503Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3968252026-05-22T06:33:51Z
dc.title.none.fl_str_mv Chiral and isospin breaking in the two-flavor Schwinger Model
title Chiral and isospin breaking in the two-flavor Schwinger Model
spellingShingle Chiral and isospin breaking in the two-flavor Schwinger Model
Albandea Jordan, David
Bosonization
Chiral perturbation theory
Lattice QCD
Lattice field theory
Lattice gauge theory
Nonlinear sigma model
Quantum electrodynamics
Quantum field theory
Sigma models
Spontaneous symmetry breaking
Strong interaction
title_short Chiral and isospin breaking in the two-flavor Schwinger Model
title_full Chiral and isospin breaking in the two-flavor Schwinger Model
title_fullStr Chiral and isospin breaking in the two-flavor Schwinger Model
title_full_unstemmed Chiral and isospin breaking in the two-flavor Schwinger Model
title_sort Chiral and isospin breaking in the two-flavor Schwinger Model
dc.creator.none.fl_str_mv Albandea Jordan, David
Hernández Gamazo, Pilar
author Albandea Jordan, David
author_facet Albandea Jordan, David
Hernández Gamazo, Pilar
author_role author
author2 Hernández Gamazo, Pilar
author2_role author
dc.contributor.none.fl_str_mv Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Bosonization
Chiral perturbation theory
Lattice QCD
Lattice field theory
Lattice gauge theory
Nonlinear sigma model
Quantum electrodynamics
Quantum field theory
Sigma models
Spontaneous symmetry breaking
Strong interaction
topic Bosonization
Chiral perturbation theory
Lattice QCD
Lattice field theory
Lattice gauge theory
Nonlinear sigma model
Quantum electrodynamics
Quantum field theory
Sigma models
Spontaneous symmetry breaking
Strong interaction
description 10 pages, 4 figures, 3 tables. v2 and v3: edit to match published version
publishDate 2025
dc.date.none.fl_str_mv 2025
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/396825
http://arxiv.org/abs/2501.04674v3
url http://hdl.handle.net/10261/396825
http://arxiv.org/abs/2501.04674v3
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/MICU//PID2020–113644 GB-I00
info:eu-repo/grantAgreement/MICU//PID2023-148162NB-C21
info:eu-repo/grantAgreement/GVA//CIPROM
info:eu-repo/grantAgreement/GVA//PROMETEO
https://doi.org/10.1103/PhysRevD.111.074503
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
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