Properties of a New Class of Lattice Dirac Operators

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A new class of lattice Dirac operators $D$ have been recently proposed on the basis of the generalized Ginsparg-Wilson relation, $γ_5(γ_5 D) + (γ_5 D)γ_5 =2a^{2k+1}(γ_5 D)^{2k+2}$, where $k$ is a non-negative integer. We discuss the index theorem and locality properties for this general class of lattice Dirac operators.
3 pages, Lattice2001(chiral femions)

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