Chiral Anomaly for a New Class of Lattice Dirac Operators
نویسندگان
چکیده
A new class of lattice Dirac operators which satisfy the index theorem have been recently proposed on the basis of the algebraic relation γ5(γ5D) + (γ5D)γ5 = 2a(γ5D) 2k+2. Here k stands for a non-negative integer and k = 0 corresponds to the ordinary Ginsparg-Wilson relation. We analyze the chiral anomaly and index theorem for all these Dirac operators in an explicit elementary manner. We show that the coefficient of anomaly is independent of a small variation in the parameters r and m0, which characterize these Dirac operators, and the correct chiral anomaly is obtained in the (naive) continuum limit a → 0.
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