Perturbation calculation of the axial anomaly of Ginsparg-Wilson fermion
نویسنده
چکیده
We evaluate the axial anomaly for the general Ginsparg-Wilson fermion operator D = Dc(1I + RDc) −1 with R = r1I. For Dc in the free fermion limit is free of species doubling and behaves like iγμpμ as p → 0, the axial anomaly tr[γ5(RD)(x, x)] for U(1) lattice gauge theory with single fermion flavor is equal to e 2 32π2 ǫμνλσFμν(x)Fλσ(x) plus terms which are higher orders in Aμ and/or derivatives, where the FF̃ term is r-invariant and has the correct continuum limit. The role of the higher order terms in the topological characteristics of D is derived. PACS numbers: 11.15.Ha, 11.30.Fs, 11.30.Rd
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تاریخ انتشار 1999