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

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.