Gauge Corrections to Strong Coupling Lattice QCD on Anisotropic Lattices

TL;DR

This paper extends strong coupling lattice QCD simulations with staggered fermions by incorporating non-perturbative gauge corrections to anisotropy, enabling precise determination of the phase diagram and critical points at finite baryon density.

Contribution

It introduces a non-perturbative method to determine the physical anisotropy in lattice QCD, improving the accuracy of phase transition studies at finite density.

Findings

Non-perturbative anisotropy determination achieved

Enhanced accuracy in locating critical end point

Refined phase diagram of lattice QCD at finite density

Abstract

Lattice QCD with staggered fermions can be formulated in dual variables to address the finite baryon density sign problem. In the past we have performed simulations in the strong coupling regime, including leading order gauge corrections. In order to vary the temperature for fixed $\beta$ it was necessary to introduce a bare anisotropy. In this talk we will extend our work to include results from a non-perturbative determination of the physical anisotropy $a_\sigma$/$a_\tau = \xi(\gamma, \beta)$, which is necessary to unambiguously locate the critical end point and the first order line of the chiral transition.