Microscopic spectrum of the Wilson Dirac operator

TY - JOUR

T1 - Microscopic spectrum of the Wilson Dirac operator

AU - Damgaard, Poul Henrik

AU - Splittorff, Kim

AU - Verbaarschot, J. J.M.

PY - 2010/10/15

Y1 - 2010/10/15

N2 - We calculate the leading contribution to the spectral density of the Wilson Dirac operator using chiral perturbation theory where volume and lattice spacing corrections are given by universal scaling functions. We find analytical expressions for the spectral density on the scale of the average level spacing, and introduce a chiral random matrix theory that reproduces these results. Our work opens up a novel approach to the infinite-volume limit of lattice gauge theory at finite lattice spacing and new ways to extract coefficients of Wilson chiral perturbation theory.

AB - We calculate the leading contribution to the spectral density of the Wilson Dirac operator using chiral perturbation theory where volume and lattice spacing corrections are given by universal scaling functions. We find analytical expressions for the spectral density on the scale of the average level spacing, and introduce a chiral random matrix theory that reproduces these results. Our work opens up a novel approach to the infinite-volume limit of lattice gauge theory at finite lattice spacing and new ways to extract coefficients of Wilson chiral perturbation theory.

U2 - 10.1103/PhysRevLett.105.162002

DO - 10.1103/PhysRevLett.105.162002

M3 - Journal article

SN - 0031-9007

VL - 105

SP - 162002

JO - Physical Review Letters

JF - Physical Review Letters

IS - 16

ER -