Simulation of Wilson fermion at finite isospin density

TL;DR

This paper investigates the phase transition behavior of Wilson fermions in QCD at finite isospin density using lattice simulations, comparing different gauge actions and analyzing the phase diagram and number density.

Contribution

It provides the first lattice study of the finite isospin chemical potential phase transition with Wilson fermions, comparing Wilson and DBW2 gauge actions.

Findings

Phase diagram similar to small baryon chemical potential case

Wilson and DBW2 actions yield consistent results

Number density varies with isospin chemical potential

Abstract

For QCD with Wilson fermions at isospin chemical potential we study the finite phase transition on an $8^3\times4$ lattice at $\kappa=0.15$. We use two gauge actions: Wilson action and DBW2 action. Both actions give the same results. The phase diagram is qualitatively similar to the one obtained for QCD at small baryon chemical potential. We also calculate the number density for various isospin chemical potentials.