The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP11(2021)196 http://hdl.handle.net/11449/229964 |
Resumo: | We extend earlier studies of transverse Ward-Fradkin-Green-Takahashi identities in QED, their usefulness to constrain the transverse fermion-boson vertex and their importance for multiplicative renormalizability, to the equivalent gauge identities in QCD. To this end, we consider transverse Slavnov-Taylor identities that constrain the transverse quark-gluon vertex and derive its eight associated scalar form factors. The complete vertex can be expressed in terms of the quark’s mass and wave-renormalization functions, the ghost-dressing function, the quark-ghost scattering amplitude and a set of eight form factors. The latter parametrize the hitherto unknown nonlocal tensor structure in the transverse Slavnov-Taylor identity which arises from the Fourier transform of a four-point function involving a Wilson line in coordinate space. We determine the functional form of these eight form factors with the constraints provided by the Bashir-Bermudez vertex and study the effects of this novel vertex on the quark in the Dyson-Schwinger equation using lattice QCD input for the gluon and ghost propagators. We observe significant dynamical chiral symmetry breaking and a mass gap that leads to a constituent mass of the order of 500 MeV for the light quarks. The flavor dependence of the mass and wave-renormalization functions as well as their analytic behavior on the complex momentum plane is studied and as an application we calculate the quark condensate and the pion’s weak decay constant in the chiral limit. Both are in very good agreement with their reference values. |
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The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breakingGauge SymmetryLattice QCDNonperturbative EffectsWe extend earlier studies of transverse Ward-Fradkin-Green-Takahashi identities in QED, their usefulness to constrain the transverse fermion-boson vertex and their importance for multiplicative renormalizability, to the equivalent gauge identities in QCD. To this end, we consider transverse Slavnov-Taylor identities that constrain the transverse quark-gluon vertex and derive its eight associated scalar form factors. The complete vertex can be expressed in terms of the quark’s mass and wave-renormalization functions, the ghost-dressing function, the quark-ghost scattering amplitude and a set of eight form factors. The latter parametrize the hitherto unknown nonlocal tensor structure in the transverse Slavnov-Taylor identity which arises from the Fourier transform of a four-point function involving a Wilson line in coordinate space. We determine the functional form of these eight form factors with the constraints provided by the Bashir-Bermudez vertex and study the effects of this novel vertex on the quark in the Dyson-Schwinger equation using lattice QCD input for the gluon and ghost propagators. We observe significant dynamical chiral symmetry breaking and a mass gap that leads to a constituent mass of the order of 500 MeV for the light quarks. The flavor dependence of the mass and wave-renormalization functions as well as their analytic behavior on the complex momentum plane is studied and as an application we calculate the quark condensate and the pion’s weak decay constant in the chiral limit. Both are in very good agreement with their reference values.Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271Instituto de Física y Matemáticas Universidad Michoacana de San Nicolás de HidalgoLaboratório de Física Teórica e Computacional Universidade Cidade de São Paulo, Rua Galvão Bueno 868Departamento de Física Universidad de Nariño, A.A. 1175Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271Universidade Estadual Paulista (UNESP)Universidad Michoacana de San Nicolás de HidalgoUniversidade Cidade de São PauloUniversidad de NariñoAlbino, Luis [UNESP]Bashir, AdnanEl-Bennich, BrunoRojas, EduardoSerna, Fernando E. [UNESP]da Silveira, Roberto Correa2022-04-29T08:36:50Z2022-04-29T08:36:50Z2021-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/JHEP11(2021)196Journal of High Energy Physics, v. 2021, n. 11, 2021.1029-8479http://hdl.handle.net/11449/22996410.1007/JHEP11(2021)1962-s2.0-85120087570Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physicsinfo:eu-repo/semantics/openAccess2022-04-29T08:36:50Zoai:repositorio.unesp.br:11449/229964Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T08:36:50Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking |
title |
The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking |
spellingShingle |
The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking Albino, Luis [UNESP] Gauge Symmetry Lattice QCD Nonperturbative Effects |
title_short |
The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking |
title_full |
The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking |
title_fullStr |
The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking |
title_full_unstemmed |
The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking |
title_sort |
The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking |
author |
Albino, Luis [UNESP] |
author_facet |
Albino, Luis [UNESP] Bashir, Adnan El-Bennich, Bruno Rojas, Eduardo Serna, Fernando E. [UNESP] da Silveira, Roberto Correa |
author_role |
author |
author2 |
Bashir, Adnan El-Bennich, Bruno Rojas, Eduardo Serna, Fernando E. [UNESP] da Silveira, Roberto Correa |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidad Michoacana de San Nicolás de Hidalgo Universidade Cidade de São Paulo Universidad de Nariño |
dc.contributor.author.fl_str_mv |
Albino, Luis [UNESP] Bashir, Adnan El-Bennich, Bruno Rojas, Eduardo Serna, Fernando E. [UNESP] da Silveira, Roberto Correa |
dc.subject.por.fl_str_mv |
Gauge Symmetry Lattice QCD Nonperturbative Effects |
topic |
Gauge Symmetry Lattice QCD Nonperturbative Effects |
description |
We extend earlier studies of transverse Ward-Fradkin-Green-Takahashi identities in QED, their usefulness to constrain the transverse fermion-boson vertex and their importance for multiplicative renormalizability, to the equivalent gauge identities in QCD. To this end, we consider transverse Slavnov-Taylor identities that constrain the transverse quark-gluon vertex and derive its eight associated scalar form factors. The complete vertex can be expressed in terms of the quark’s mass and wave-renormalization functions, the ghost-dressing function, the quark-ghost scattering amplitude and a set of eight form factors. The latter parametrize the hitherto unknown nonlocal tensor structure in the transverse Slavnov-Taylor identity which arises from the Fourier transform of a four-point function involving a Wilson line in coordinate space. We determine the functional form of these eight form factors with the constraints provided by the Bashir-Bermudez vertex and study the effects of this novel vertex on the quark in the Dyson-Schwinger equation using lattice QCD input for the gluon and ghost propagators. We observe significant dynamical chiral symmetry breaking and a mass gap that leads to a constituent mass of the order of 500 MeV for the light quarks. The flavor dependence of the mass and wave-renormalization functions as well as their analytic behavior on the complex momentum plane is studied and as an application we calculate the quark condensate and the pion’s weak decay constant in the chiral limit. Both are in very good agreement with their reference values. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-11-01 2022-04-29T08:36:50Z 2022-04-29T08:36:50Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/JHEP11(2021)196 Journal of High Energy Physics, v. 2021, n. 11, 2021. 1029-8479 http://hdl.handle.net/11449/229964 10.1007/JHEP11(2021)196 2-s2.0-85120087570 |
url |
http://dx.doi.org/10.1007/JHEP11(2021)196 http://hdl.handle.net/11449/229964 |
identifier_str_mv |
Journal of High Energy Physics, v. 2021, n. 11, 2021. 1029-8479 10.1007/JHEP11(2021)196 2-s2.0-85120087570 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of High Energy Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1803046564845846528 |