Properties of canonical determinants and a test of fugacity expansion for finite density lattice QCD with Wilson fermions

TL;DR

This paper investigates the properties of canonical determinants in lattice QCD with Wilson fermions, evaluating their behavior across temperatures and testing the convergence of the fugacity expansion for finite density scenarios.

Contribution

It introduces a method to compute canonical determinants via Fourier moments and analyzes their properties and convergence in finite density lattice QCD with Wilson fermions.

Findings

Canonical determinants are evaluated as Fourier moments of the grand canonical determinant.

The properties of canonical determinants vary with temperature, affecting the fugacity series convergence.

The study provides insights into the applicability of fugacity expansion in finite density QCD simulations.

Abstract

We analyze canonical determinants, i.e., grand canonical determinants projected to a fixed net quark number. The canonical determinants are the coefficients in a fugacity expansion of the grand canonical determinant and we evaluate them as the Fourier moments of the grand canonical determinant with respect to imaginary chemical potential, using a dimensional reduction technique. The analysis is done for two mass-degenerate flavors of Wilson fermions at several temperatures below and above the confinement/deconfinement crossover. We discuss various properties of the canonical determinants and analyse the convergence of the fugacity series for different temperatures.