Can axial U(1) anomaly disappear at high temperature?

TL;DR

This paper investigates whether the axial U(1) anomaly vanishes at high temperatures in two-flavor lattice QCD, providing theoretical and numerical evidence for its suppression above the chiral transition temperature.

Contribution

It presents new lattice QCD simulation results showing suppression of the axial U(1) anomaly and topological susceptibility at high temperature, highlighting the role of chiral symmetry control.

Findings

Suppression of axial U(1) anomaly above critical temperature

Reduction in topological susceptibility at high temperature

Importance of controlling lattice chiral symmetry violation

Abstract

In our recent study of two-flavor lattice QCD using chiral fermions, we find strong suppression of axial U(1) anomaly above the critical temperature of chiral phase transition. Our simulation data also indicate suppression of topological susceptibility. In this talk, we present both of our theoretical and numerical evidence for disappearance of axial U(1) anomaly, emphasizing the importance of controlling lattice chiral symmetry violation, which is enhanced at high temperature.