Multi-flavor massless QED$_2$ at finite densities via Lefschetz thimbles

TL;DR

This paper investigates multi-flavor massless QED in 1+1 dimensions at finite density and zero temperature, employing Lefschetz thimbles to address the sign problem through mean-field analysis with complex saddle points.

Contribution

It introduces a novel approach using Lefschetz thimbles and complex saddle points to solve the sign problem in multi-flavor massless QED at finite densities.

Findings

Sign problem is effectively solved using the Lefschetz thimble method.

Mean-field calculations with complex saddle points provide accurate results.

Analysis applies to finite spatial length and zero-temperature limit.

Abstract

We consider multi-flavor massless $(1+1)$-dimensional QED with chemical potentials at finite spatial length and the zero-temperature limit. Its sign problem is solved using the mean-field calculation with complex saddle points.