The path optimization for the sign problem of low dimensional QCD

TL;DR

This paper explores the application of path optimization in complex plane to mitigate the sign problem in low-dimensional QCD, aiming to improve computational feasibility for finite density QCD studies.

Contribution

It demonstrates the first application of path optimization to low-dimensional QCD, advancing methods to address the sign problem in finite density QCD.

Findings

Path optimization enhances the average phase factor in low-dimensional QCD.

The method shows promise for reducing the sign problem in finite density QCD.

Initial results suggest improved stability in numerical simulations.

Abstract

The path optimization has been proposed to weaken the sign problem which appears in some field theories such as finite density QCD. In this method, we optimize the integration path in complex plain to enhance the average phase factor. In this study, we discuss the application of this method to low dimensional QCD as a first step of finite density QCD.