One loop calculation of SUSY Ward-Takahashi identity on lattice with Wilson fermion

Abstract

One loop correction to the SUSY Ward-Takahashi identity is calculated on lattice with Wilson fermion. The supersymmetry on lattice is broken explicitly by the gluino mass and the lattice artifact. We should fine tune parameters in the theory to the point given by the additive mass correction in order to eliminate the breaking effect of lattice artifact. It is shown that the additive mass correction appearing from the SUSY Ward-Takahashi identity coincide with that from the axial $U(1{)}_R$ symmetry as was suggested by Curci and Veneziano. Two important symmetries of the super Yang-Mills theory can be recovered simultaneously in the continuum with a single fine tuning. Operator mixing of the supercurrent are also investigated. We find that the supercurrent mixes only with a gauge invariant current $T_{\mu }$ which is related to the gamma-trace anomaly.

20 pages, 4 axodraw.sty figures, made some corrections

References in corpus (1)

• Monte Carlo simulation of SU(2) Yang-Mills theory with light gluinos

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