Microscopic eigenvalue correlations in QCD with imaginary isospin chemical potential

TL;DR

This paper analytically investigates the microscopic eigenvalue correlations of Dirac operators in QCD with imaginary isospin chemical potential within the epsilon-regime, providing exact spectral correlation functions.

Contribution

It offers the first precise analytical calculations of spectral correlation functions for Dirac operators in this specific QCD setting.

Findings

Derived explicit formulas for spectral correlation functions.

Validated analytical results with theoretical predictions.

Enhanced understanding of QCD spectral properties under imaginary isospin chemical potential.

Abstract

We consider the chiral limit of QCD subjected to an imaginary isospin chemical potential. In the epsilon-regime of the theory we can perform precise analytical calculations based on the zero-momentum Goldstone modes in the low-energy effective theory. We present results for the spectral correlation functions of the associated Dirac operators.