Dirac and Gor'kov spectra in two color QCD with chemical potential

TL;DR

This paper investigates the eigenvalue spectra of the Dirac and Gor'kov matrices in two-color QCD at finite chemical potential, exploring their relation to chiral symmetry, deconfinement, and quantum chaos, with comparisons to random matrix theory.

Contribution

It provides a detailed analysis of the complex eigenvalue spectra in two-color QCD at nonzero density, including the role of quasi-zero modes and the application of random matrix theory predictions.

Findings

Eigenvalue spectra exhibit features consistent with quantum chaos.

Quasi-zero modes influence chiral symmetry breaking.

Spectral properties align with random matrix theory predictions.

Abstract

We analyze the eigenvalue spectrum of the staggered Dirac matrix in two-color QCD at nonzero baryon density when the eigenvalues become complex. The quasi-zero modes and their role for chiral symmetry breaking and the deconfinement transition are examined. The bulk of the spectrum and its relation to quantum chaos is considered. A comparison with predictions from random matrix theory is presented. An analogous analysis is performed for the spectrum of the Gor'kov representation of the fermionic action.