Phase Diagram of Wilson and Twisted Mass Fermions at finite isospin chemical potential

TL;DR

This paper investigates how the phase diagram of Wilson and twisted mass fermions in lattice QCD is influenced by parameters like twist angle, lattice spacing, quark masses, and isospin chemical potential, using chiral perturbation theory.

Contribution

It provides a detailed analysis of the phase diagram and pion mass dependence on multiple parameters in lattice QCD with Wilson and twisted mass fermions.

Findings

Phase diagram depends on twist angle, lattice spacing, quark masses, and isospin chemical potential.

Pion masses vary with these parameters, affecting lattice QCD simulations.

Chiral perturbation theory effectively models these dependencies.

Abstract

Wilson Fermions with untwisted and twisted mass are widely used in lattice simulations. Therefore one important question is whether the twist angle and the lattice spacing affect the phase diagram. We briefly report on the study of the phase diagram of QCD in the parameter space of the degenerate quark masses, isospin chemical potential, lattice spacing, and twist angle by employing chiral perturbation theory. Moreover we calculate the pion masses and their dependence on these four parameters.