Complex Langevin simulations and the QCD phase diagram: Recent developments

TL;DR

This review discusses recent advances in complex Langevin simulations, focusing on their application to the QCD phase diagram, including boundary term computations, Dynamic Stabilization, and results for dynamical QCD.

Contribution

It introduces recent methodological developments like boundary term computation and Dynamic Stabilization in complex Langevin simulations for QCD.

Findings

Boundary terms can be explicitly computed to verify correctness.

Dynamic Stabilization improves simulation stability.

Recent results demonstrate progress in fully dynamical QCD simulations.

Abstract

In this review we present the current state-of-the-art on complex Langevin simulations and their implications for the QCD phase diagram. After a short summary of the complex Langevin method, we present and discuss recent developments. Here we focus on the explicit computation of boundary terms, which provide an observable that can be used to check one of the criteria of correctness explicitly. We also present the method of Dynamic Stabilization and elaborate on recent results for fully dynamical QCD.