# Parity doubling in two-flavor SU(2) at high temperature

## TL;DR

This study investigates meson mass spectra in two-flavor SU(2) gauge theory at high temperature, revealing parity doubling and symmetry restoration above the critical temperature through lattice simulations.

## Contribution

It provides the first detailed lattice analysis of meson parity doubling and symmetry restoration in two-flavor SU(2) at high temperature.

## Key findings

- Parity partners become degenerate above $T_c$
- Restoration of $SU(4) imes U(1)_A$ symmetry at high temperature
- Clear signs of parity doubling in vector and scalar channels

## Abstract

We study the mass spectrum of mesons at high temperature in $SU(2)$ gauge theory with two flavors of Dirac fundamental fermions. Numerical simulations are carried out on anisotropic lattices using Wilson fermions, with lattice parameters tuned so that Euclidean symmetry is restored at low energy. We determine the pseudo-critical temperature $T_c$ using renormalized Polyakov loops. We calculate temporal and spatial meson correlation functions across $T_c$, and observe a clear sign of parity doublings above $T_c$ in both vector and scalar channels. The degeneracy between parity partners in the spectrum indicates that the enhanced $SU(4) \times U(1)_A$ global symmetry of the model is restored at high temperature.