Towards the heavy dense QCD phase diagram using Complex Langevin simulations

TL;DR

This paper explores using Complex Langevin simulations to study the heavy dense QCD phase diagram, addressing the sign problem that hampers traditional Monte Carlo methods.

Contribution

It demonstrates the application of Complex Langevin techniques with adaptive step-size scaling and gauge cooling to investigate the QCD phase diagram in challenging regimes.

Findings

Successful tests of deconfinement transition in pure Yang-Mills SU(3)

Progress on mapping the heavy dense QCD phase diagram

Validation of Complex Langevin methods for complex-weight path integrals

Abstract

Monte Carlo methods cannot probe far into the QCD phase diagram with a real chemical potential, due to the famous sign problem. Complex Langevin simulations, using adaptive step-size scaling and gauge cooling, are suited for sampling path integrals with complex weights. We report here on tests of the deconfinement transition in pure Yang-Mills SU(3) simulations and present an update on the QCD phase diagram in the limit of heavy and dense quarks.