Polyakov line actions from $SU(3)$ lattice gauge theory with dynamical fermions: first results via relative weights

TL;DR

This paper derives an effective Polyakov line action from $SU(3)$ lattice gauge theory with dynamical fermions using the relative weights method, and explores its behavior at finite chemical potential through mean field analysis.

Contribution

It introduces a novel application of the relative weights method to include dynamical fermions and finite chemical potential in the effective Polyakov line action.

Findings

Preliminary results for one-link staggered fermions at specific parameters.

Effective action fitted to hopping-parameter expansion form.

Mean field solution at finite chemical potential presented.

Abstract

We apply the relative weights method to extract an effective Polyakov line action, at finite chemical potential, from an underlying $SU(3)$ lattice gauge theory with dynamical fermions. The center-symmetry breaking terms in the effective theory are fit to a form suggested by the hopping-parameter expansion, and the effective action is solved at finite chemical potential by a mean field approach. We present preliminary results for one-link staggered fermions with mass $ma=1.0$ and Wilson gauge action at $\beta=5.4$ on $L^3\times4$ lattices with $L=16$.