Study of the SU(2) High Density System with Wilson Fermion

TL;DR

This paper explores the behavior of SU(2) QCD at high density using Wilson fermions, analyzing thermodynamic properties and phase transitions with improved lattice actions.

Contribution

It provides a detailed lattice simulation of SU(2) QCD at high density, including thermodynamics and phase transition indicators with Wilson fermions and improved actions.

Findings

Polyakov line susceptibility peaks at μ ≈ 0.7 indicating deconfinement transition.

Thermodynamic quantities vary with chemical potential, showing phase change signatures.

Meson and diquark propagators are analyzed across the transition.

Abstract

We investigate high density state of SU(2) QCD in the case of the Wilson fermions with Iwasaki improved action. Based on the Woodbery formula, the ratio of fermion determinants is evaluated at each step of the Metropolis link update. At $\beta=0.7$, for $\kappa = 0.150$, and $\kappa = 0.175$, we calculate thermodynamical quantities, such as, baryon number density, Polyakov line, and the energy density of gluon sector with chemical potential $\mu$=0 to 0.9 on the $4^{3} \times 8$ lattice. The susceptibility of the Polyakov line to the chemical potential shows peak at around $\mu = 0.7$ which indicates the deconfinement phase transition. Behavior of the meson and diquark propagators with finite chemical potential are also investigated at both side of the peak.