Simulations of one-flavor QCD at finite temperature by RHMC

TL;DR

This paper uses the rational hybrid Monte Carlo algorithm to simulate one-flavor QCD at finite temperature, identifying the endpoint of the phase transition as quark mass decreases.

Contribution

It introduces a simulation approach for one-flavor QCD at finite temperature and estimates the critical quark mass where the phase transition ends.

Findings

Endpoint of phase transition at kappa_c ~ 0.07-0.08

First order phase transition terminates at this endpoint

Binder cumulant used to locate the endpoint

Abstract

We simulate one-flavor QCD with standard Wilson fermions at finite temperature by the rational hybrid Monte Carlo algorithm. In the heavy quark region when we decrease the quark mass there is an endpoint which terminates the first order phase transition. We try to locate it by calculating the Binder cumulant of the Polyakov loop norm. We estimate the end-point to be kappa_c \sim 0.07-0.08.