Monte Carlo Study of Two-Color QCD with Finite Chemical Potential - Status report of Wilson fermion simulation

TL;DR

This study uses Wilson fermions to simulate SU(2) lattice QCD with finite chemical potential, analyzing meson masses, baryon density, and eigenvalue distributions to understand chiral symmetry restoration and transition behavior.

Contribution

It provides new insights into the behavior of two-color QCD at finite chemical potential using Wilson fermions, including eigenvalue analysis near the transition region.

Findings

Pseudoscalar meson mass increases around μ=0.4 indicating chiral symmetry restoration.

Simulation breakdown occurs near the transition region due to complex determinant behavior.

Eigenvalue distributions show a 'Shell-and-Bean' pattern near the transition.

Abstract

Using Wilson fermions, we study SU(2) lattice QCD with the chemical potential at $\beta=1.6$. The ratio of fermion determinants is evaluated at each Metropolis link update step. We calculate the baryon number density, the Polyakov loops and the pseudoscalar and vector masses on $4^4$ and $4^3\times 8$ lattices. Preliminary data show the pseudoscalar meson becomes massive around $\mu=0.4$, which indicates the chiral symmetry restoration. The calculation is broken down when approaching to the transition region. We analyze the behavior of the fermion determinant and eigen value distributions of the determinant, which shows a peculiar ``Shell-and-Bean'' pattern near the transition.