Effective potentials, thermodynamics, and twisted mass quarks

TL;DR

This paper uses effective Lagrangian methods to predict the complex phase structure of two-flavor lattice QCD with Wilson fermions and twisted mass, including parity violation and deconfinement regions.

Contribution

It provides a qualitative analysis of the phase diagram of twisted mass lattice QCD at finite temperature using effective Lagrangian arguments.

Findings

Prediction of Aoki's parity violating phase

Identification of a conical deconfinement region

Rich phase structure in parameter space

Abstract

Using effective Lagrangian arguments, I explore the qualitative behavior expected at finite temperature for two flavor lattice QCD formulated with Wilson fermions and a twisted mass term. A rather rich phase structure is predicted, exhibiting Aoki's parity violating phase along with a deconfinement region forming a conical structure in the space of coupling, hopping parameter, and twisted mass variables.