# Axial U(1) symmetry and Dirac spectra in high-temperature phase of $N_f=2$ lattice QCD

## TL;DR

This study investigates the fate of axial U(1) symmetry in high-temperature Nf=2 lattice QCD, showing suppression of U(1)_A susceptibility near the chiral limit using overlap eigenvalues.

## Contribution

It provides new insights into U(1)_A symmetry restoration at high temperatures with precise spectral analysis using overlap fermions.

## Key findings

- U(1)_A susceptibility is strongly suppressed in the chiral limit.
- Volume dependence of the susceptibility suggests partial symmetry restoration.
- Overlap eigenvalue spectrum indicates effective U(1)_A symmetry restoration.

## Abstract

The axial $U(1)$ symmetry in the high-temperature phase is investigated with $N_f = 2$ lattice QCD simulations. The gauge ensembles are generated with M\"obius domain-wall fermions, and the overlap/domain-wall reweighting is applied. We find that the $U(1)_A$ susceptibility evaluated from the spectrum of overlap-Dirac eigenvalues is strongly suppressed in the chiral limit. We also study its volume dependence.