One Loop Calculation of SUSY Ward-Takahashi Identity on Lattice with Wilson Fermion

One loop correction to the SUSY Ward-Takahashi identity is calculated on lattice with Wilson fermion for the N = 1 supersymmetric Yang-Mills theory (SYM). It is shown that the additive mass correction calculated in the SUSY Ward-Takahashi identity coincide with that in the axial U(1)R symmetry as was suggested by Curci and Veneziano. Two important symmetries of the SYM can be recovered simultaneously in the continuum with a single fine tuning. The remaining problem of the SYM on lattice is how to fine tune the theory to the chiral symmetric point which is broken by anomaly.Operator mixing of the supercurrent are also investigated. We find that the supercurrent mixes only with a gauge invariant current Tμ which is related to the gamma-trace anomaly.

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One Loop Calculation of SUSY Ward-Takahashi Identity on Lattice with Wilson Fermion

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