Relative weights approach to SU(3) gauge theories with dynamical fermions at finite density

TL;DR

This paper derives effective Polyakov line actions for SU(3) gauge theories with dynamical fermions at finite density using the relative weights method, revealing the importance of long-range couplings in phase structure and metastability.

Contribution

It introduces a method to derive effective actions for SU(3) gauge theories with dynamical fermions at finite density, highlighting the role of long-range couplings.

Findings

Long-range couplings significantly influence phase structure.

Metastable states are observed in the effective theory.

Only one metastable state corresponds to the original lattice gauge theory.

Abstract

We derive effective Polyakov line actions for SU(3) gauge theories with staggered dynamical fermions, for a small sample of lattice couplings, lattice actions, and lattice extensions in the time direction. The derivation is via the method of relative weights, and the theories are solved at finite chemical potential by mean field theory. We find in some instances that the long-range couplings in the effective action are very important to the phase structure, and that these couplings are responsible for long-lived metastable states in the effective theory. Only one of these states corresponds to the underlying lattice gauge theory.