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

Gómez Nicola, A.; Ruiz de Elvira, J. (2018). Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets. Physical review. D - particles, fields, gravitation, and cosmology, 98(1) American Physical Society 10.1103/PhysRevD.98.014020

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We analyze the restoration pattern of the members of the scalar and pseudoscalar meson nonets under chiral Oð4Þ and Uð1ÞA 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 Uð3Þ chiral perturbation theory (ChPT) at finite temperature to perform a full analysis of the different correlators involved. Our analysis suggests Uð1ÞA 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 1⁄4 1=2 sector, the behavior of I 1⁄4 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.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Ruiz de Elvira Carrascal, Jacobo

Subjects:

500 Science > 530 Physics

ISSN:

1550-7998

Publisher:

American Physical Society

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

30 Aug 2018 15:50

Last Modified:

27 Oct 2019 04:29

Publisher DOI:

10.1103/PhysRevD.98.014020

ArXiv ID:

1803.08517

BORIS DOI:

10.7892/boris.119663

URI:

https://boris.unibe.ch/id/eprint/119663

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