Filtered overlap: speedup, locality, kernel non-normality and Z_A~1

Abstract

We investigate the overlap operator with a UV filtered Wilson kernel. The filtering leads to a better localization of the operator even on coarse lattices and with the untuned choice $\rho =1$. Furthermore, the axial-vector renormalization constant $Z_A$ is much closer to 1, reducing the mismatch with perturbation theory. We show that all these features persist over a wide range of couplings and that the details of filtering prove immaterial. We investigate the properties of the kernel spectrum and find that the kernel non-normality is reduced. As a side effect we observe that for certain applications of the filtered overlap a speed-up factor of 2-4 can be achieved.

30 pp, 23 figs

References in corpus (11)

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• Staggered eigenvalue mimicry
• Scaling tests with dynamical overlap and rooted staggered fermions
• Lattice Computations of the Pion Form Factor
• Physics issues in simulations with dynamical overlap fermions
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• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• Comment on the Scaling Function in AdS4 x CP3
• QCD thermodynamics with dynamical overlap fermions
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• Wound and Rotating Strings in AdS_5 x S^5
• Brillouin improvement for Wilson fermions
• Spectral properties of the Wilson Dirac operator in the $\epsilon$-regime
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Bethe Ansatz Equations for General Orbifolds of N=4 SYM
• Light hadron and diquark spectroscopy in quenched QCD with overlap quarks on a large lattice
• Exploring Topology Conserving Gauge Actions for Lattice QCD
• Anomalous dimensions of finite size field strength operators in N=4 SYM
• Invariant Differential Operators and Characters of the AdS_4 Algebra
• Testing the nested light-cone Bethe equations of the AdS_5 x S^5 superstring
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Physics prospects of UV-filtered overlap quarks
• Light hadron spectroscopy in quenched QCD with overlap fermions
• Localization and lattice fermions