Sign problem and MEM

TL;DR

This paper explores the application of the maximum entropy method (MEM) to address the sign problem in lattice field theories with a theta term and discusses its potential relevance to finite density lattice QCD.

Contribution

It investigates the effectiveness of MEM in mitigating the sign problem in lattice field theories with a theta term, providing insights into its applicability.

Findings

MEM shows potential in handling the sign problem in LFT with a theta term

The study offers preliminary assessment of MEM's applicability to finite density lattice QCD

Insights into limitations and prospects of MEM for sign problem solutions

Abstract

The sign problem is notorious in Monte Carlo simulations of lattice QCD with the finite density, lattice field theory (LFT) with a $\theta$ term and quantum spin models. In this report, to deal with the sign problem, we apply the maximum entropy method (MEM) to LFT with the $\theta$ term and investigate to what extent the MEM is applicable to this issue. Based on this study, we also make a brief comment about lattice QCD with the finite density in terms of the MEM.