Wilson Fermions at finite temperature

TL;DR

This paper discusses the complex phase structure of lattice gauge theory with Wilson fermions at finite temperature, highlighting various phases including confinement, deconfinement, and symmetry-breaking states.

Contribution

It provides a conjecture on the expected phase diagram for Wilson fermions at large hopping parameters, emphasizing the presence of multiple distinct phases.

Findings

Identification of multiple phases including confinement, deconfinement, and Aoki phase.

Prediction of a large hopping phase with negative quark masses.

Insight into spontaneous flavor and parity breaking in lattice gauge theories.

Abstract

I conjecture on the phase structure expected for lattice gauge theory with two flavors of Wilson fermions, concentrating on large values of the hopping parameter. Numerous phases are expected, including the conventional confinement and deconfinement phases, as well as an Aoki phase with spontaneous breaking of flavor and parity and a large hopping phase corresponding to negative quark masses.