Study of lattice QCD at finite chemical potential using canonical ensemble approach

TL;DR

This paper introduces a new method for computing canonical partition functions in lattice QCD with two flavors, validating it against existing methods and using it to analyze phase transitions at real chemical potential.

Contribution

The paper presents a novel approach to calculating canonical partition functions in lattice QCD and demonstrates its effectiveness by comparison with established methods.

Findings

New method agrees with hopping parameter expansion results.

Phase transition line determined at real chemical potential.

Validation of the new approach for lattice QCD computations.

Abstract

New approach to computation of canonical partition functions in $N_f=2$ lattice QCD is presented. We compare results obtained by new method with results obtained by known method of hopping parameter expansion. We observe agreement between two methods indicating validity of the new method. We use results for the number density obtained in the confining and deconfining phases at imaginary chemical potential to determine the phase transition line at real chemical potential.