Localization of Low Lying Eigenmodes for Chirally Symmetric Dirac Operator

Abstract

We consider properties of zero and near-zero modes for overlap fermion operator in SU(2) lattice gluodynamics. The density of the states is of the order of Lambda(QCD) while the localization volume of the modes tends to zero in physical units with the lattice spacing tending to zero. The situation changes drastically when we study "vortex removed" configurations.

LATTICE 2005(Chiral Fermions)

References in corpus (5)

• On the relevance of center vortices to QCD
• Numerical techniques for lattice QCD in the $\epsilon$--regime
• Operator improvement for Ginsparg-Wilson fermions
• Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory
• Localized eigenmodes of covariant Laplacians in the Yang-Mills vacuum

Cited by in corpus (4)

• Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field
• Intersections of thick Center Vortices, Dirac Eigenmodes and Fractional Topological Charge in SU(2) Lattice Gauge Theory
• SU(2) Gluodynamics and HP1 sigma-model embedding: Scaling, Topology and Confinement
• Nonperturbative physics at short distances