Chiral and restoration for the scalar and pseudoscalar meson nonets
A Gómez Nicola, J Ruiz de Elvira - Physical Review D, 2018 - APS
Physical Review D, 2018•APS
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 …
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 …
We analyze the restoration pattern of the members of the scalar and pseudoscalar meson nonets under chiral and 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 chiral perturbation theory (ChPT) at finite temperature to perform a full analysis of the different correlators involved. Our analysis suggests 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 sector, the behavior of 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.
American Physical Society
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