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

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Locality properties of Neuberger's lattice Dirac operator

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Hernández Gamazo, Pilar; Jansen, K.; Lüscher, Martin
This document is a artículoDate1999

Este documento está disponible también en : http://hdl.handle.net/10550/43353
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.

    Hernández Gamazo, Pilar Jansen, K. Lüscher, Martin 1999 Locality properties of Neuberger's lattice Dirac operator Nuclear Physics B 552 1-2 363 378
http://dx.doi.org/10.1016/S0550-3213(99)00213-8

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