Lattice three-gluon vertex in extended kinematics: Planar degeneracy

We present novel results for the three-gluon vertex, obtained from an extensive quenched lattice simulation in the Landau gauge. The simulation evaluates the transversely projected vertex, spanned on a special tensorial basis, whose form factors are naturally parametrized in terms of individually Bo...

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Detalles Bibliográficos
Autores: Pinto Gómez, F., Soto Borrero, Feliciano Carlos de, Ferreira, M. N., Papavassiliou, J., Rodríguez Quintero, José
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad de Huelva (UHU)
Repositorio:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Idioma:inglés
OAI Identifier:oai:ariasmontano.uhu.es:10272/21871
Acceso en línea:https://hdl.handle.net/10272/21871
Access Level:acceso abierto
Palabra clave:QCD
Three-gluon vertex
Lattice QCD
Schwinger-Dyson equations
22 Física
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spelling Lattice three-gluon vertex in extended kinematics: Planar degeneracyPinto Gómez, F.Soto Borrero, Feliciano Carlos deFerreira, M. N.Papavassiliou, J.Rodríguez Quintero, JoséQCDThree-gluon vertexLattice QCDSchwinger-Dyson equations22 FísicaWe present novel results for the three-gluon vertex, obtained from an extensive quenched lattice simulation in the Landau gauge. The simulation evaluates the transversely projected vertex, spanned on a special tensorial basis, whose form factors are naturally parametrized in terms of individually Bose-symmetric variables. Quite interestingly, when evaluated in these kinematics, the corresponding form factors depend almost exclusively on a single kinematic variable, formed by the sum of the squares of the three incoming four-momenta, q, r, and p. Thus, all configurations lying on a given plane in the coordinate system (q2,r2,p2) share, to a high degree of accuracy, the same form factors, a property that we denominate planar degeneracy. We have confirmed the validity of this property through an exhaustive study of the set of configurations satisfying the condition q2=r2, within the range [0,5GeV]. This drastic simplification allows for a remarkably compact description of the main bulk of the data, which is particularly suitable for future numerical applications. A semi-perturbative analysis reproduces the lattice findings rather accurately, once the inclusion of a gluon mass has cured all spurious divergences.Elsevier20232023-01-0120232023-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10272/21871reponame:Arias Montano. Repositorio Institucional de la Universidad de Huelvainstname:Universidad de Huelva (UHU)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:ariasmontano.uhu.es:10272/218712026-06-02T14:58:11Z
dc.title.none.fl_str_mv Lattice three-gluon vertex in extended kinematics: Planar degeneracy
title Lattice three-gluon vertex in extended kinematics: Planar degeneracy
spellingShingle Lattice three-gluon vertex in extended kinematics: Planar degeneracy
Pinto Gómez, F.
QCD
Three-gluon vertex
Lattice QCD
Schwinger-Dyson equations
22 Física
title_short Lattice three-gluon vertex in extended kinematics: Planar degeneracy
title_full Lattice three-gluon vertex in extended kinematics: Planar degeneracy
title_fullStr Lattice three-gluon vertex in extended kinematics: Planar degeneracy
title_full_unstemmed Lattice three-gluon vertex in extended kinematics: Planar degeneracy
title_sort Lattice three-gluon vertex in extended kinematics: Planar degeneracy
dc.creator.none.fl_str_mv Pinto Gómez, F.
Soto Borrero, Feliciano Carlos de
Ferreira, M. N.
Papavassiliou, J.
Rodríguez Quintero, José
author Pinto Gómez, F.
author_facet Pinto Gómez, F.
Soto Borrero, Feliciano Carlos de
Ferreira, M. N.
Papavassiliou, J.
Rodríguez Quintero, José
author_role author
author2 Soto Borrero, Feliciano Carlos de
Ferreira, M. N.
Papavassiliou, J.
Rodríguez Quintero, José
author2_role author
author
author
author
dc.contributor.none.fl_str_mv
dc.subject.none.fl_str_mv QCD
Three-gluon vertex
Lattice QCD
Schwinger-Dyson equations
22 Física
topic QCD
Three-gluon vertex
Lattice QCD
Schwinger-Dyson equations
22 Física
description We present novel results for the three-gluon vertex, obtained from an extensive quenched lattice simulation in the Landau gauge. The simulation evaluates the transversely projected vertex, spanned on a special tensorial basis, whose form factors are naturally parametrized in terms of individually Bose-symmetric variables. Quite interestingly, when evaluated in these kinematics, the corresponding form factors depend almost exclusively on a single kinematic variable, formed by the sum of the squares of the three incoming four-momenta, q, r, and p. Thus, all configurations lying on a given plane in the coordinate system (q2,r2,p2) share, to a high degree of accuracy, the same form factors, a property that we denominate planar degeneracy. We have confirmed the validity of this property through an exhaustive study of the set of configurations satisfying the condition q2=r2, within the range [0,5GeV]. This drastic simplification allows for a remarkably compact description of the main bulk of the data, which is particularly suitable for future numerical applications. A semi-perturbative analysis reproduces the lattice findings rather accurately, once the inclusion of a gluon mass has cured all spurious divergences.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-01-01
2023
2023-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10272/21871
url https://hdl.handle.net/10272/21871
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Arias Montano. Repositorio Institucional de la Universidad de Huelva
instname:Universidad de Huelva (UHU)
instname_str Universidad de Huelva (UHU)
reponame_str Arias Montano. Repositorio Institucional de la Universidad de Huelva
collection Arias Montano. Repositorio Institucional de la Universidad de Huelva
repository.name.fl_str_mv
repository.mail.fl_str_mv
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