Analytic continuation from imaginary to real chemical potential in two-color QCD

TL;DR

This paper evaluates the effectiveness of analytic continuation from imaginary to real chemical potential in two-color QCD, demonstrating its reliability and improvements with proper data interpolation methods.

Contribution

It provides a validation of the analytic continuation method in a sign-problem-free theory and suggests optimal interpolation functions for better results.

Findings

The method yields reliable results within certain chemical potential ranges.

Using suitable interpolation functions significantly improves accuracy.

The approach is validated in two-color QCD, a sign-problem-free model.

Abstract

The method of analytic continuation from imaginary to real chemical potential is one of the most powerful tools to circumvent the sign problem in lattice QCD. Here we test this method in a theory, 2-color QCD, which is free from the sign problem. We find that the method gives reliable results, within appropriate ranges of the chemical potential, and that a considerable improvement can be achieved if suitable functions are used to interpolate data with imaginary chemical potential.