Testing dynamic stabilisation in complex Langevin simulations

TL;DR

This paper introduces a novel dynamic stabilisation technique for complex Langevin simulations, improving their accuracy and reliability in theories with sign problems like QCD.

Contribution

The paper presents a new dynamic stabilisation method that keeps complex Langevin simulations close to the SU(3) manifold, enhancing their correctness in Yang-Mills and heavy quark QCD.

Findings

Improved accuracy in pure Yang-Mills simulations.

Correct results in heavy quark limit of QCD.

Enhanced stability of complex Langevin methods.

Abstract

Complex Langevin methods have been successfully applied in theories that suffer from a sign problem such as QCD with a chemical potential. We present and illustrate a novel method (dynamic stabilisation) that ensures that Complex Langevin simulations stay close to the SU(3) manifold, which lead to correct and improved results in the framework of pure Yang-Mills simulations and QCD in the limit of heavy quarks.