Partially quenched QCD with a chemical potential

TL;DR

This paper employs chiral random matrix theory to derive low energy partition functions and Dirac eigenvalue correlations for QCD with varying chemical potentials, including complex cases, aiding in understanding phase diagrams and low energy constants.

Contribution

It introduces a method to analyze QCD with different chemical potentials using chiral random matrix theory, extending to complex and imaginary cases.

Findings

Derived low energy partition functions for QCD with chemical potentials

Extended results to complex and imaginary chemical potentials

Discussed applications in phase diagram analysis and constant fitting

Abstract

Using a chiral random matrix theory we can now derive the low energy partition functions and Dirac eigenvalue correlations of QCD with different chemical potentials for the dynamical and valence quarks. The results can also be extended to complex (and purely imaginary) chemical potential. We also discuss possible applications such as fitting to low energy constants and understanding the phase diagrams of the full and partially quenched theories.