Microscopic spectral density of the Wilson Dirac operator for one flavor

TY - JOUR

T1 - Microscopic spectral density of the Wilson Dirac operator for one flavor

AU - Larsen, R.N.

PY - 2012/3/23

Y1 - 2012/3/23

N2 - We consider the effect of a non-zero lattice spacing on the low-energy effective theory of Wilson fermions with N f=1. Analytical results are given for both the chiral condensate and the microscopic spectral density of the Wilson Dirac operator. It is observed that the partition function for a sector of fixed index ν has ν real zeros. A subtle mechanism ensures that a constant chiral condensate is recovered, once the sum over sectors ν is performed.

AB - We consider the effect of a non-zero lattice spacing on the low-energy effective theory of Wilson fermions with N f=1. Analytical results are given for both the chiral condensate and the microscopic spectral density of the Wilson Dirac operator. It is observed that the partition function for a sector of fixed index ν has ν real zeros. A subtle mechanism ensures that a constant chiral condensate is recovered, once the sum over sectors ν is performed.

U2 - 10.1016/j.physletb.2012.02.038

DO - 10.1016/j.physletb.2012.02.038

M3 - Journal article

SN - 0370-2693

VL - 709

SP - 390

EP - 395

JO - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

JF - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

IS - 4-5

ER -