Locality properties of Neuberger's lattice Dirac operator
Abstract
The gauge covariant lattice Dirac operator D which has recently been proposed by Neuberger satisfies the GinspargWilson 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.
 Publication:

Nuclear Physics B
 Pub Date:
 July 1999
 DOI:
 10.1016/S05503213(99)002138
 arXiv:
 arXiv:heplat/9808010
 Bibcode:
 1999NuPhB.552..363H
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 plain tex source, 20 pages, 3 figures, needs amssym.def and epsf, corrected a small error and updated references