Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets

We analyze the restoration pattern of the members of the scalar and pseudoscalar meson nonets under chiral O ( 4 ) and U ( 1 ) A symmetries. For that purpose, we exploit QCD Ward identities (WI), which allow one to relate susceptibilities with quark condensates, as well as susceptibility differences...

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Authors: Gómez Nicola, Ángel, Ruiz De Elvira Carrascal, Jacobo
Format: article
Publication Date:2018
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/12867
Online Access:https://hdl.handle.net/20.500.14352/12867
Access Level:Open access
Keyword:Física-Modelos matemáticos
Teoría de los quanta
2210.23 Teoría Cuántica
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spelling Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonetsGómez Nicola, ÁngelRuiz De Elvira Carrascal, JacoboFísica-Modelos matemáticosTeoría de los quanta2210.23 Teoría CuánticaWe analyze the restoration pattern of the members of the scalar and pseudoscalar meson nonets under chiral O ( 4 ) and U ( 1 ) A symmetries. For that purpose, we exploit QCD Ward identities (WI), which allow one to relate susceptibilities with quark condensates, as well as susceptibility differences with meson vertices. In addition, we consider the low-energy realization of QCD provided by U ( 3 ) chiral perturbation theory (ChPT) at finite temperature to perform a full analysis of the different correlators involved. Our analysis suggests U ( 1 ) A partner restoration if chiral symmetry partners are also degenerated. This is also confirmed by the ChPT analysis when the light chiral limit is reached. Partner degeneration for the I = 1 / 2 sector, the behavior of I = 0 mixing and the temperature scaling of meson masses predicted by WI are also studied. Special attention is paid to the connection of our results with recent lattice analyses.APS PhysicsUniversidad Complutense de Madrid20182018-07-1620182018-07-16journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/12867reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/128672026-06-02T12:44:21Z
dc.title.none.fl_str_mv Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets
title Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets
spellingShingle Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets
Gómez Nicola, Ángel
Física-Modelos matemáticos
Teoría de los quanta
2210.23 Teoría Cuántica
title_short Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets
title_full Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets
title_fullStr Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets
title_full_unstemmed Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets
title_sort Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets
dc.creator.none.fl_str_mv Gómez Nicola, Ángel
Ruiz De Elvira Carrascal, Jacobo
author Gómez Nicola, Ángel
author_facet Gómez Nicola, Ángel
Ruiz De Elvira Carrascal, Jacobo
author_role author
author2 Ruiz De Elvira Carrascal, Jacobo
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv Física-Modelos matemáticos
Teoría de los quanta
2210.23 Teoría Cuántica
topic Física-Modelos matemáticos
Teoría de los quanta
2210.23 Teoría Cuántica
description We analyze the restoration pattern of the members of the scalar and pseudoscalar meson nonets under chiral O ( 4 ) and U ( 1 ) A symmetries. For that purpose, we exploit QCD Ward identities (WI), which allow one to relate susceptibilities with quark condensates, as well as susceptibility differences with meson vertices. In addition, we consider the low-energy realization of QCD provided by U ( 3 ) chiral perturbation theory (ChPT) at finite temperature to perform a full analysis of the different correlators involved. Our analysis suggests U ( 1 ) A partner restoration if chiral symmetry partners are also degenerated. This is also confirmed by the ChPT analysis when the light chiral limit is reached. Partner degeneration for the I = 1 / 2 sector, the behavior of I = 0 mixing and the temperature scaling of meson masses predicted by WI are also studied. Special attention is paid to the connection of our results with recent lattice analyses.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-07-16
2018
2018-07-16
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/12867
url https://hdl.handle.net/20.500.14352/12867
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 3.0 España
https://creativecommons.org/licenses/by/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 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv APS Physics
publisher.none.fl_str_mv APS Physics
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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