Localized eigenmodes of the overlap operator and their impact on the eigenvalue distribution

Abstract

In a system where chiral symmetry is spontaneously broken, the low energy eigenmodes of the continuum Dirac operator are extended. On the lattice, due to discretization effects, the Dirac operator can have localized eigenmodes that affect physical quantities sensitive to chiral symmetry. While the infrared eigenmodes of the Wilson Dirac operator are usually extended even on coarse lattices, the chiral overlap operator has many localized eigenmodes in the physical region, especially in mixed action simulations. Depending on their density, these modes can introduce strong lattice artifacts. The effect can be controlled by changing the parameters of the overlap operator, in particular the clover improvement term and the center of the overlap projection.

16 pages, 6 figures

References in corpus (16)

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• The Nf=0 heavy quark potential from short to intermediate distances
• Random Matrix Theory and Chiral Symmetry in QCD
• Exact chiral symmetry, topological charge and related topics
• Topological susceptibility in the SU(3) gauge theory
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• Distribution of the k-th smallest Dirac operator eigenvalue
• Precision study of the SU(3) topological susceptibility in the continuum
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• Properties of near-zero modes and chiral symmetry breaking
• Spectral Properties of the Overlap Dirac Operator in QCD
• Topological susceptibility from the overlap
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Mixed Action Simulations on Staggered Background; Interpretation and Result for the 2-flavor QCD Chiral Condensate

Cited by in corpus (12)

• Microscopic Origin of \boldmath{$U_A(1)$} Symmetry Violation in the High Temperature Phase of QCD
• Reweighting towards the chiral limit
• Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings
• Finite-Volume Scaling of the Wilson-Dirac Operator Spectrum
• New Ways to Determine Low-Energy Constants with Wilson Fermions
• Adjoint zero-modes as a tool to understand the Yang-Mills vacuum
• Dynamical simulations with HYP-link Wilson fermions
• Non-perturbative improvement of nHYP smeared Wilson fermions
• Multigrid Preconditioning for the Overlap Operator in Lattice QCD
• The eigenvalue spectrum for dynamical Chirally Improved fermions
• The impact of localized overlap eigenmodes on RMT measurements and topology
• Interactive Visualization Package for 4D Lattice Field Theories