Abstract
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 = 2 a 2 k+2 , where k is a non-negative integer. We discuss the index theorem and locality properties for this general class of lattice Dirac operators.
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