Stochastic quantization at nonzero chemical potential

TL;DR

This paper explores the use of stochastic quantization and complex Langevin dynamics to address the sign problem in lattice QCD at finite chemical potential, with promising initial results and insights from simplified models.

Contribution

It introduces a novel application of stochastic quantization to finite chemical potential lattice QCD and provides preliminary results and understanding of its effectiveness.

Findings

Encouraging initial results for QCD in the hopping expansion

Insights gained from U(1) and SU(3) one link models

Potential of complex Langevin dynamics to mitigate the sign problem

Abstract

Lattice QCD at finite chemical potential is difficult due to the sign problem. We use stochastic quantization and complex Langevin dynamics to study this issue. First results for QCD in the hopping expansion are encouraging. U(1) and SU(3) one link models are used to gain further insight into why the method appears to be successful.