Lattice gauge theories in the strong coupling and static limits as a sign-problem-free Ising model

TL;DR

This paper maps the strong coupling limit of SU(N) lattice gauge theories onto a sign-problem-free Ising model, enabling new insights into finite temperature SU(2) gauge theory at finite baryon density.

Contribution

It introduces a novel reformulation of lattice gauge theories as Ising models, facilitating studies at finite baryon density without the sign problem.

Findings

Effective action mapped to Ising model in any dimension

Enables analysis of finite temperature SU(2) at finite baryon density

Provides a new computational approach for gauge theories

Abstract

The effective action of the SU(N) Polyakov loop model in the strong coupling region and in the static limit for the quark determinant can be mapped onto the Ising model in any dimensions, with the Ising variables attached on the links of the lattice. We use this reformulation to study the finite temperature SU(2) lattice gauge theory at finite baryon density.