Chiral and $U(1)_A$ restoration: Ward Identities and effective theories - INSPIRE

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Chiral and $U(1)_A$ restoration: Ward Identities and effective theories

Ángel Gómez Nicola
(
- Madrid U.
)
,
Jacobo Ruiz De Elvira
(
- U. Bern, AEC
)
,
Andrea Vioque-Rodríguez
(
- Madrid U.
)
,
Silvia Ferreres-Solé
(
- Nikhef, Amsterdam
)

Dec 11, 2018

9 pages

Part of Proceedings, 13th Conference on Quark Confinement and the Hadron Spectrum (Confinement XIII) : Maynooth, Ireland, July 31-August 06, 2018, 153

Published in:

PoS Confinement2018 (2019) 153

Contribution to:

- Confinement XIII
, 153

Published: Apr 25, 2019 by SISSA

e-Print:

1812.04516 [hep-ph]

DOI:

10.22323/1.336.0153

View in:

ADS Abstract Service

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Abstract: (SISSA)

We discuss our recent results regarding chiral and

U(1)_A

restoration, both from the formal point of view of QCD Ward Identities (WI) and from an Effective Theory analysis provided by

U(3)

Chiral Perturbation Theory (ChPT) at finite temperature.\ Our results lead to relevant conclusions regarding the behavior of chiral partners (in terms of susceptibilities) in the limit of exact restoration and provide useful results for lattice analysis. In addition, it helps to understand the temperature dependence of lattice screening masses in terms of quark condensate combinations. The U(3) ChPT calculation supports the conclusions obtained within the WI analysis. Finally, the role of the thermal

f_0(500)

state in chiral symmetry restoration, regarding the scalar susceptibility, is also discussed.

Note:

Proceedings of XIII Quark Confinement and the Hadron Spectrum. 8 pages, 4 figures. Minor corrections added

Ward identity
effective field theory: chiral
perturbation theory: chiral
quantum chromodynamics: finite temperature
quantum chromodynamics: critical phenomena
critical phenomena: chiral
quark: condensation
quark: mass
mass: screening
susceptibility: scalar

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