Ginsparg-Wilson relation with R=(a γ_5 D)^{2k}

Details Ginsparg-Wilson relation with R=(a γ_5 D)^{2k} Ginsparg-Wilson relation with R=(a γ_5 D)^{2k}

2000-10-30

arxiv.org/abs/hep-lat/0010070v1

Nucl.Phys.Proc.Suppl.94:733-736,2001

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 1 EPS figure, talk presented at Lattice'00 (Chiral Fermion)

Scientific paper

10.1016/S0920-5632(01)00904-5

The Ginsparg-Wilson relation $D \gamma_5 + \gamma_5 D = 2 a D R \gamma_5 D$ with $R = (a \gamma_5 D)^{2k}$ is discussed. An explicit realization of D is constructed. It is shown that this sequence of topologically-proper lattice Dirac operators tend to a nonlocal operator in the limit $k \to \infty$. This suggests that the locality of a lattice Dirac operator is irrelevant to its index.

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