Effective Polyakov line actions, and their solutions at finite chemical potential

TL;DR

This paper discusses recent advances in deriving effective Polyakov line actions from lattice gauge theories and compares mean field and complex Langevin methods for solving these theories at finite chemical potential.

Contribution

It introduces the relative weights approach for deriving effective actions and compares solution methods at finite chemical potential.

Findings

Relative weights approach effectively derives Polyakov line actions.

Mean field and complex Langevin methods are compared for solving at finite chemical potential.

Insights into the advantages and limitations of each solution method.

Abstract

I outline recent progress in the relative weights approach to deriving effective Polyakov line actions from an underlying lattice gauge theory, and compare mean field and complex Langevin methods for solving such theories at finite chemical potential.