Density profiles of small Dirac operator eigenvalues for two color QCD at nonzero chemical potential compared to matrix models

Abstract

We investigate the eigenvalue spectrum of the staggered Dirac matrix in two color QCD at finite chemical potential. The profiles of complex eigenvalues close to the origin are compared to a complex generalization of the chiral Gaussian Symplectic Ensemble, confirming its predictions for weak and strong non-Hermiticity. They differ from the QCD symmetry class with three colors by a level repulsion from both the real and imaginary axis.

Lattice2004(non-zero), 3 pages, 4 figures

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Cited by in corpus (5)

• The Complex Laguerre Symplectic Ensemble of Non-Hermitian Matrices
• Matrix Models and QCD with Chemical Potential
• Massive partition functions and complex eigenvalue correlations in Matrix Models with symplectic symmetry
• Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model
• Universality crossover between chiral random matrix ensembles and twisted SU(2) lattice Dirac spectra