Lattice Spacing Dependence of the First Order Phase Transition for Dynamical Twisted Mass Fermions

TL;DR

This paper investigates how the first order phase transition in lattice QCD with Wilson twisted mass fermions depends on lattice spacing, providing insights into phase structure and scaling behavior.

Contribution

It presents a study of the lattice spacing dependence of the first order phase transition in Wilson twisted mass fermions, including a scaling test of physical quantities.

Findings

First order phase transition varies with lattice spacing.

Scaling behavior of physical quantities observed.

Phase structure insights for Wilson twisted mass fermions.

Abstract

Lattice QCD with Wilson fermions generically shows the phenomenon of a first order phase transition. We study the phase structure of lattice QCD using Wilson twisted mass fermions and the Wilson plaquette gauge action are used in a range of beta values where such a first order phase transition is observed. In particular, we investigate the dependence of the first order phase transition on the value of the lattice spacing. Using only data in one phase and neglecting possible problems arising from the phase transition we are able to perform a first scaling test for physical quantities using this action.