Bounds on the Wilson Dirac Operator

Details Bounds on the Wilson Dirac Operator Bounds on the Wilson Dirac Operator

1999-11-04

arxiv.org/abs/hep-lat/9911004v2

Phys.Rev.D61:085015,2000

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, TeX, 3 eps figures, small corrections and improvements

Scientific paper

10.1103/PhysRevD.61.085015

New exact upper and lower bounds are derived on the spectrum of the square of the hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations using the overlap Dirac operator. The bounds also apply to the Wilson Dirac operator in odd dimensions and are therefore relevant to domain wall fermions as well.

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