Lowest eigenvalues of the Dirac operator for two color QCD at nonzero chemical potential

Abstract

We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) and U(1) gauge theory as well as in full QCD with two colors and finite chemical potential. Along the strong-coupling axis up to the phase transition, the low-lying Dirac spectrum of these quantum field theories is well described by random matrix theory and exhibits universal behavior. Related results for gauge theories with minimal coupling are discussed in the chirally symmetric phase and no universality is seen for the microscopic spectral densities.

Lattice2001(hightemp), 3 pages, 9 figures

References in corpus (5)

• Low-lying Eigenvalues of the QCD Dirac Operator at Finite Temperature
• Microscopic Universality and the Chiral Phase Transition in two Flavor QCD
• Spectrum of the U(1) staggered Dirac operator in four dimensions
• Dirac and Gor'kov spectra in two color QCD with chemical potential
• Quantum chaos and chiral symmetry at the QCD and QED phase transition

Cited by in corpus (4)

• Unquenched QCD Dirac Operator Spectra at Nonzero Baryon Chemical Potential
• The Complex Laguerre Symplectic Ensemble of Non-Hermitian Matrices
• Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model
• Density profiles of small Dirac operator eigenvalues for two color QCD at nonzero chemical potential compared to matrix models