6533b7d7fe1ef96bd1267cc2
RESEARCH PRODUCT
Locality properties of Neuberger's lattice Dirac operator
Karl JansenMartin LüscherPilar Hernándezsubject
PhysicsNuclear and High Energy PhysicsChiral symmetryHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)LocalityFOS: Physical sciencesFísicaParticle Physics - LatticeFermionDirac operatorsymbols.namesakeHigh Energy Physics - LatticeLattice (order)symbolsCutoffCovariant transformationGauge theoryMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-08-12 |