Improved convergence of Complex Langevin simulations

TL;DR

This paper introduces a new method to enhance the convergence of Complex Langevin simulations in lattice QCD, addressing the sign problem at non-zero chemical potential by maintaining the system closer to the SU(3) manifold.

Contribution

The paper presents a novel approach that improves the convergence of Complex Langevin simulations by constraining the system near the SU(3) manifold, reducing incorrect results.

Findings

Preliminary tests show improved convergence.

Method maintains system closer to SU(3) manifold.

Potential to solve sign problem in lattice QCD.

Abstract

The sign problem appears in lattice QCD as soon as a non-zero chemical potential is introduced. This prevents direct simulations to determine the phase structure of the strongly interacting matter. Complex Langevin methods have been successfully used for various models or approximations of QCD. However, in some scenarios it converges to incorrect results. We present developments of our new method that helps to improve the convergence by keeping the system closer to the SU(3) manifold and discuss preliminary tests and results.