Complex Langevin in Lattice QCD: dynamic stabilisation and the phase diagram

TL;DR

This paper introduces Dynamic Stabilisation to improve Complex Langevin simulations for QCD phase diagram determination, demonstrating enhanced convergence and consistency with known results in heavy quark limits.

Contribution

The paper proposes Dynamic Stabilisation as a novel method to enhance the reliability of Complex Langevin simulations in lattice QCD.

Findings

DS improves convergence in Complex Langevin simulations

Results align with known reweighting outcomes in heavy quark regimes

Systematic tests validate the effectiveness of DS

Abstract

Complex Langevin simulations provide an alternative to sample path integrals with complex weights and therefore are suited to determine the phase diagram of QCD from first principles. We use our proposed method of Dynamic Stabilisation (DS) to ensure improved convergence to the right limit and present new systematic tests of this technique. We also show results on QCD in the limit of heavy quarks and an analysis of DS compared to known results from reweighting.