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

A. Gómez Nicola; J. Ruiz de Elvira; A. Vioque-Rodríguez; S. Ferreres-Solé

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

High Energy Physics - Phenomenology 2019-05-07 v2

Authors: A. Gómez Nicola , J. Ruiz de Elvira , A. Vioque-Rodríguez , S. Ferreres-Solé

Abstract

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.

Keywords

chiral restoration u(1)_a restoration ward identities u(3) chiral perturbation theory qcd lattice screening masses thermal f0(500)

Cite

@article{arxiv.1812.04516,
  title  = {Chiral and $U(1)_A$ restoration: Ward Identities and effective theories},
  author = {A. Gómez Nicola and J. Ruiz de Elvira and A. Vioque-Rodríguez and S. Ferreres-Solé},
  journal= {arXiv preprint arXiv:1812.04516},
  year   = {2019}
}

Comments

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

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

Abstract

Keywords

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