# Absence of Parity-Flavor Breaking Phase in QCD with two Flavors of Wilson fermions for beta greater than or equal to 5.0

## TL;DR

This study investigates whether a parity-flavor breaking phase exists in two-flavor Wilson fermion QCD simulations at high beta values, finding no evidence of such a phase in the examined parameter range.

## Contribution

The paper provides the first comprehensive lattice simulation analysis showing the absence of a parity-flavor breaking phase for beta ≥ 5.0 in two-flavor Wilson fermion QCD.

## Key findings

- No spontaneous parity-flavor breaking observed at beta ≥ 5.0
- Extrapolations in parameter h and volume show no phase transition
- Results support the stability of the QCD phase structure in this regime

## Abstract

We present data testing the existence of a parity-flavor breaking phase in simulations of QCD with two flavors of light Wilson fermions. This is done by explicit simulations on lattice sizes of $6^4$, $8^4$ and $10^4$ for a variety of values of $\beta$ and $\kappa$ as well as the coefficient, $h$, of an explicit breaking term included in the action. We find that at $\beta=6/g^2 $ equal to or greater than 5.0 extrapolation in the parameter $h$ as well as in the lattice volume show no indication of a phase where parity and flavor are spontaneously broken in the limit of zero $h$.