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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Detalles Bibliográficos
Autores: Gómez Nicola, Ángel, Ruiz De Elvira Carrascal, Jacobo
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/12867
Acceso en línea:https://hdl.handle.net/20.500.14352/12867
Access Level:acceso abierto
Palabra clave:Física-Modelos matemáticos
Teoría de los quanta
2210.23 Teoría Cuántica
Descripción
Sumario: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.