Wilson fermions with imaginary chemical potential

TL;DR

This paper investigates the phase structure of QCD with imaginary chemical potential using Wilson fermions, identifying a first-order phase transition and applying matrix reduction techniques for Wilson fermions.

Contribution

It provides new insights into the phase transition behavior with Wilson fermions at imaginary chemical potential and introduces a matrix reduction formula for Wilson fermions.

Findings

First-order phase transition observed at specific parameters.

Polyakov loop signals support phase transition analysis.

Matrix reduction formula for Wilson fermions presented.

Abstract

We study the phase structure of imaginary chemical potential. We calculate the Polyakov loop using clover-improved Wilson action and renormalization improved gauge action. We obtain a two-state signals indicating the first order phase transition for $\beta = 1.9, \mu_I = 0.2618, \kappa=0.1388$ on $8^3\times 4$ lattice volume We also present a result of the matrix reduction formula for the Wilson fermion.