# Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

## TL;DR

This study investigates how high temperatures restore symmetries in a two-flavor, two-color lattice gauge theory by analyzing meson spectra and correlation functions, revealing symmetry enhancements at critical temperatures.

## Contribution

It provides the first detailed lattice analysis of symmetry restoration in $SU(2)$ gauge theory with two flavors at high temperature, focusing on meson spectra and correlation functions.

## Key findings

- Restoration of $SU(4)$ and $U(1)_A$ symmetries at high temperature.
- Identification of the pseudo-critical temperature via Polyakov loop susceptibility.
- Enhanced symmetry properties observed in meson spectra at high temperature.

## Abstract

We consider the $SU(2)$ gauge theory with $N_f=2$ flavors of Dirac fundamental fermions. We study the high-temperature behavior of the spectra of mesons, discretizing the theory on anisotropic lattices, and measuring the two-point correlation functions in the temporal direction as well as screening masses in various channels. We identify the (pseudo-)critical temperature as the temperature at which the susceptibility associated with the Polyakov loop has a maximum. At high temperature both the spin-1 and spin-0 sectors of the light meson spectra exhibit enhanced symmetry properties, indicating the restoration of both the global $SU(4)$ and the axial $U(1)_A$ symmetries of the model.