Finite-Temperature Phase Structure of Lattice QCD with Wilson Quark Action

TL;DR

This paper investigates the finite-temperature phase structure of lattice QCD with Wilson quarks, revealing a cusp in the critical line and its relation to chiral transition, with implications for continuum limits and flavor effects.

Contribution

It provides analytical and numerical evidence for the shape of the critical line and clarifies its relation to the chiral transition in lattice QCD with Wilson quarks.

Findings

Critical line forms a cusp at finite gauge coupling

Chiral transition line passes the cusp tip without touching

Implications for continuum limit and flavor dependence discussed

Abstract

The long-standing issue of the nature of the critical line of lattice QCD with the Wilson quark action at finite-temperatures, defined to be the line of vanishing pion screening mass, and its relation to the line of finite-temperature chiral tansition is examined. Analytical and numerical evidence are presented that the critical line forms a cusp at a finite gauge coupling, and the line of chiral transition runs past the tip of the cusp without touching the critical line. Implications on the continuum limit and the flavor dependence of chiral transition are discussed.