Simulation of SU(2) Dynamical Fermion at Finite Chemical Potential and at Finite Temperature

TL;DR

This paper uses Hybrid Monte Carlo simulations to study how finite chemical potential and temperature affect quark condensate and meson masses in SU(2) lattice gauge theory with dynamical fermions.

Contribution

It presents the first detailed simulation of SU(2) gauge theory with dynamical fermions at finite chemical potential and temperature, analyzing their effects on key physical quantities.

Findings

Quark condensate decreases with increasing chemical potential.

Pseudoscalar meson masses vary with chemical potential and temperature.

Results provide insights into QCD phase structure at finite density.

Abstract

SU(2) lattice gauge theory with dynamical fermion at non-zero chemical potential and at finite temperature is studied. We focus on the influence of chemical potential for quark condensate and mass of pseudoscalar meson at finite temperature. Hybrid Monte Carlo simulations with $N_f=8$ staggered fermions are carried out on $12 \times 12\times 24 \times 4$ lattice. At $\beta=1.1$ and $m_{q}=$0.05,0.07,0.1, we calculate the quark condensate and masses of pseudoscalar meson consisting of light and heavier quarks for chemical potential $\mu=$ 0.0,0.02,0.05,0.1,0.2.