Results on the heavy-dense QCD phase diagram using complex Langevin

TL;DR

This paper studies the phase diagram of heavy-dense QCD using complex Langevin simulations, exploring the boundary between confined and deconfined phases across different lattice volumes and discussing simulation instabilities.

Contribution

It applies complex Langevin methods to map the heavy-dense QCD phase diagram and analyze phase boundaries, extending previous approaches to larger volumes.

Findings

Successfully reproduced known results in regions with mild sign problem

Predicted phase boundary between confined and deconfined phases

Identified instabilities in complex Langevin simulations

Abstract

Complex Langevin simulations have been able to successfully reproduce results from Monte Carlo methods in the region where the sign problem is mild and make predictions when it is exponentially hard. We present here our study of the QCD phase diagram and the boundary between the confined and deconfined phases in the limit of heavy and dense quarks (HDQCD) for 3 different lattice volumes. We also briefly discuss instabilities encountered in our simulations.