Margaret Island Symposium 2022 on Vacuum Structure, Particles, and Plasmas

Backreaction of mesonic fluctuations on the axial anomaly at finite temperature

16 May 2022, 11:30

20m

QCD

Speaker

Prof. András Patkós (Eötvös University)

Description

The impact of mesonic fluctuations on the restoration of the $U_A(1)$ anomaly is investigated non-perturbatively for three flavors at finite temperature in an effective model setting. Using the functional renormalization group, the dressed, fully field dependent Kobayashi--Maskawa--'t Hooft (KMT) anomaly coupling is computed. It is found that mesonic fluctuations strengthen this signature of the $U_A(1)$ breaking as the temperature increases. On the other hand, when instanton effects are included by parametrizing the explicit temperature dependence of the bare anomaly parameter in consistency with the semi-classical result for the tunneling amplitude, a natural tendency appears diminishing the anomaly at high temperatures. As a result of the two competing effects, the dressed KMT coupling shows a well defined intermediate strengthening behavior around the chiral (pseudo)transition temperature before the axial anomaly gets fully suppressed at high temperature. As a consequence, we conclude that below $\text{Undefined control sequence MeV}$ the $U_A(1)$ anomaly is unlikely to be effectively restored. Robustness of the conclusions against different assumptions for the temperature dependence of the bare anomaly coefficient is investigated in detail.

Presentation materials

pp2022-talk.pdf