Locality and Scaling of Quenched Overlap Fermions

Details Locality and Scaling of Quenched Overlap Fermions Locality and Scaling of Quenched Overlap Fermions

2005-10-13

arxiv.org/abs/hep-lat/0510075v1

PoS LAT2005 (2005) 120

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2005 (chiral fermions), 6 pages, 4 figures

Scientific paper

The overlap fermion offers the tremendous advantage of exact chiral symmetry on the lattice, but is numerically intensive. This can be made affordable while still providing large lattice volumes, by using coarse lattice spacing, given that good scaling and localization properties are established. Here, using overlap fermions on quenched Iwasaki gauge configurations, we demonstrate directly that the overlap Dirac operator's range is comfortably small in lattice units for each of the lattice spacings 0.20 fm, 0.17 fm, and 0.13 fm (and scales to zero in physical units in the continuum limit). In particular, our direct results contradict recent speculation that an inverse lattice spacing of $1 {\rm GeV}$ is too low to have satisfactory localization. Furthermore, hadronic masses (available on the two coarser lattices) scale very well.

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