Complex Langevin simulation for QCD-like models

TL;DR

This paper evaluates the Complex Langevin method with gauge cooling on simple models and a QCD-related lattice model, demonstrating its effectiveness and agreement with reweighting methods in relevant physical regimes.

Contribution

It introduces gauge cooling to enhance the Complex Langevin method and applies it successfully to a QCD-like lattice model, showing improved control and accuracy.

Findings

Gauge cooling stabilizes the Complex Langevin dynamics.

CLE results agree well with reweighting in physical regions.

Method proves effective for QCD-like models.

Abstract

We first test the Complex Langevin method (CLE) on various simple models. We then introduce the method of Gauge Cooling to control the dynamics of the process and ensure thin distributions in the imaginary direction. We finally apply CLE with gauge cooling to a QCD-related lattice model (HQCD) and compare the results by CLE and by a refined Reweighting method (rRW). Very good agreement is found in all regions of physical interest.