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

Ting-Wai Chiu
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Abstract

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

Ting-Wai Chiu. 2000-10-30. Ginsparg-Wilson relation with R=(a γ_5 D)^{2k}. https://doi.org/10.1016/s0920-5632(01)00904-5

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