Locality properties of Neuberger's lattice Dirac operator

Details Locality properties of Neuberger's lattice Dirac operator Locality properties of Neuberger's lattice Dirac operator

1998-08-12

arxiv.org/abs/hep-lat/9808010v2

Nucl.Phys.B552:363-378,1999

Physics

High Energy Physics

High Energy Physics - Lattice

plain tex source, 20 pages, 3 figures, needs amssym.def and epsf, corrected a small error and updated references

Scientific paper

10.1016/S0550-3213(99)00213-8

The gauge covariant lattice Dirac operator D which has recently been proposed by Neuberger satisfies the Ginsparg-Wilson relation and thus preserves chiral symmetry. The operator also avoids a doubling of fermion species, but its locality properties are not obvious. We now prove that D is local (with exponentially decaying tails) if the gauge field is sufficiently smooth at the scale of the cutoff. Further analytic and numerical studies moreover suggest that the locality of the operator is in fact guaranteed under far more general conditions.

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