Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases

Autores
Gomez Dumm, Daniel Alberto; Noguera, Santiago; Scoccola, Norberto Nerio
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the role of the Schwinger phase (SP) that appears in the propagator of a charged particle in the presence of a static and uniform magnetic field B. We first note that this phase cannot be removed by a gauge transformation; far from this, we show that it plays an important role in the restoration of the symmetries of the system. Next, we analyze the effect of SPs in the one-loop corrections to charged pion and rho meson self-energies. To carry out this analysis we consider first a simple form for the meson-quark interactions, and then we study the π+ and ρ+ propagators within the Nambu-Jona-Lasinio model, performing a numerical analysis of the B dependence of meson lowest energy states. For both π+ and ρ+ mesons, we compare the numerical results arising from the full calculation—in which SPs are included in the propagators, and meson wave functions correspond to states of definite Landau quantum number—and those obtained within alternative schemes in which SPs are neglected (or somehow eliminated) and meson states are described by plane waves of definite four-momentum.
Fil: Gomez Dumm, Daniel Alberto. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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
Fil: Noguera, Santiago. Universidad de Valencia; España
Fil: Scoccola, Norberto Nerio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; Argentina
Materia
Quantum chromodynamics
Strong magnetic fields
Quark models
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:11336/233652

id CONICETDig_73a1e0e2feaeef88891c0865f613a534
oai_identifier_str oai:ri.conicet.gov.ar:11336/233652
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phasesGomez Dumm, Daniel AlbertoNoguera, SantiagoScoccola, Norberto NerioQuantum chromodynamicsStrong magnetic fieldsQuark modelshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the role of the Schwinger phase (SP) that appears in the propagator of a charged particle in the presence of a static and uniform magnetic field B. We first note that this phase cannot be removed by a gauge transformation; far from this, we show that it plays an important role in the restoration of the symmetries of the system. Next, we analyze the effect of SPs in the one-loop corrections to charged pion and rho meson self-energies. To carry out this analysis we consider first a simple form for the meson-quark interactions, and then we study the π+ and ρ+ propagators within the Nambu-Jona-Lasinio model, performing a numerical analysis of the B dependence of meson lowest energy states. For both π+ and ρ+ mesons, we compare the numerical results arising from the full calculation—in which SPs are included in the propagators, and meson wave functions correspond to states of definite Landau quantum number—and those obtained within alternative schemes in which SPs are neglected (or somehow eliminated) and meson states are described by plane waves of definite four-momentum.Fil: Gomez Dumm, Daniel Alberto. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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; ArgentinaFil: Noguera, Santiago. Universidad de Valencia; EspañaFil: Scoccola, Norberto Nerio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; ArgentinaAmerican Physical Society2023-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/233652Gomez Dumm, Daniel Alberto; Noguera, Santiago; Scoccola, Norberto Nerio; Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases; American Physical Society; Physical Review D; 108; 1; 7-2023; 1-292470-0029CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.016012info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.108.016012info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:15:42Zoai:ri.conicet.gov.ar:11336/233652instacron: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:34982025-09-10 13:15:42.408CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases
title Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases
spellingShingle Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases
Gomez Dumm, Daniel Alberto
Quantum chromodynamics
Strong magnetic fields
Quark models
title_short Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases
title_full Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases
title_fullStr Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases
title_full_unstemmed Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases
title_sort Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases
dc.creator.none.fl_str_mv Gomez Dumm, Daniel Alberto
Noguera, Santiago
Scoccola, Norberto Nerio
author Gomez Dumm, Daniel Alberto
author_facet Gomez Dumm, Daniel Alberto
Noguera, Santiago
Scoccola, Norberto Nerio
author_role author
author2 Noguera, Santiago
Scoccola, Norberto Nerio
author2_role author
author
dc.subject.none.fl_str_mv Quantum chromodynamics
Strong magnetic fields
Quark models
topic Quantum chromodynamics
Strong magnetic fields
Quark models
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the role of the Schwinger phase (SP) that appears in the propagator of a charged particle in the presence of a static and uniform magnetic field B. We first note that this phase cannot be removed by a gauge transformation; far from this, we show that it plays an important role in the restoration of the symmetries of the system. Next, we analyze the effect of SPs in the one-loop corrections to charged pion and rho meson self-energies. To carry out this analysis we consider first a simple form for the meson-quark interactions, and then we study the π+ and ρ+ propagators within the Nambu-Jona-Lasinio model, performing a numerical analysis of the B dependence of meson lowest energy states. For both π+ and ρ+ mesons, we compare the numerical results arising from the full calculation—in which SPs are included in the propagators, and meson wave functions correspond to states of definite Landau quantum number—and those obtained within alternative schemes in which SPs are neglected (or somehow eliminated) and meson states are described by plane waves of definite four-momentum.
Fil: Gomez Dumm, Daniel Alberto. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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
Fil: Noguera, Santiago. Universidad de Valencia; España
Fil: Scoccola, Norberto Nerio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia Física (Centro Atómico Constituyentes). Proyecto Tandar; Argentina
description We study the role of the Schwinger phase (SP) that appears in the propagator of a charged particle in the presence of a static and uniform magnetic field B. We first note that this phase cannot be removed by a gauge transformation; far from this, we show that it plays an important role in the restoration of the symmetries of the system. Next, we analyze the effect of SPs in the one-loop corrections to charged pion and rho meson self-energies. To carry out this analysis we consider first a simple form for the meson-quark interactions, and then we study the π+ and ρ+ propagators within the Nambu-Jona-Lasinio model, performing a numerical analysis of the B dependence of meson lowest energy states. For both π+ and ρ+ mesons, we compare the numerical results arising from the full calculation—in which SPs are included in the propagators, and meson wave functions correspond to states of definite Landau quantum number—and those obtained within alternative schemes in which SPs are neglected (or somehow eliminated) and meson states are described by plane waves of definite four-momentum.
publishDate 2023
dc.date.none.fl_str_mv 2023-07
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/11336/233652
Gomez Dumm, Daniel Alberto; Noguera, Santiago; Scoccola, Norberto Nerio; Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases; American Physical Society; Physical Review D; 108; 1; 7-2023; 1-29
2470-0029
CONICET Digital
CONICET
url http://hdl.handle.net/11336/233652
identifier_str_mv Gomez Dumm, Daniel Alberto; Noguera, Santiago; Scoccola, Norberto Nerio; Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases; American Physical Society; Physical Review D; 108; 1; 7-2023; 1-29
2470-0029
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.108.016012
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.108.016012
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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_ 1842980848771530752
score 12.993085