Density of States Method at Finite Isospin Density

TL;DR

This paper applies the density of states method to lattice QCD at finite isospin density, enabling efficient exploration of parameter space and providing insights into phase structure and chiral condensate behavior.

Contribution

It demonstrates the effectiveness of the density of states method in lattice QCD at finite isospin density, allowing for results across various parameters and comparison with traditional algorithms.

Findings

Results agree with the R-algorithm for chiral condensate and quark number density.

Provides phase structure insights for different quark flavors and isospin chemical potentials.

Obtains chiral condensate data at multiple quark masses and densities, inaccessible to conventional methods.

Abstract

The density of states method is applied for lattice QCD at a finite isospin density. The advantage of this method is that one can easily obtain results for various values of parameters (quark mass, coupling constant and the number of flavors). We compare results for the chiral condensate and the quark number density with those from the R-algorithm and find that they are in good agreement. By calculating the chiral condensate we obtain information on the phase structure for various quark flavors and isospin chemical potentials. We also show results for the chiral condensate at two different quark masses and at two different isospin densities which are not easily obtainable in the conventional Monte Carlo method.