Microscopic Spectral Density of the Wilson Dirac Operator for One Flavor

Abstract

We consider the effect of a non-zero lattice spacing on the low-energy effective theory of Wilson fermions with one flavor. Analytical results are given for both the chiral condensate and the microscopic spectral density of the Wilson Dirac operator. A subtle mechanism ensures that a constant chiral condensate is recovered, once the sum over sectors of fixed index is performed.

6 pages, 8 figures

References in corpus (2)

• Eigenvalue Density of the non-Hermitian Wilson Dirac Operator
• Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition

Cited by in corpus (5)

• Spectral Properties of the Wilson Dirac Operator and random matrix theory
• Mixing of orthogonal and skew-orthogonal polynomials and its relation to Wilson RMT
• Individual Eigenvalue Distributions for the Wilson Dirac Operator
• Chiral Dynamics With Wilson Fermions
• Progress on the Microscopic Spectrum of the Dirac Operator for QCD with Wilson Fermions