SUSY Ward identities in 1-loop perturbation theory
Federico Farchioni, Alessandra Feo, Tobias Galla, Claus Gebert, Robert, Kirchner, Istvan Montvay, Gernot Muenster, Roland Peetz, Anastassios, Vladikas
TL;DR
This paper investigates the one-loop lattice perturbation theory for N=1 SU(2) SUSY Yang-Mills, focusing on the renormalization of the supercurrent and the restoration of supersymmetric Ward identities.
Contribution
It provides the first perturbative calculation of renormalization constants and mixing coefficients for the supercurrent in lattice SUSY Yang-Mills.
Findings
Renormalization constants for the supercurrent are computed.
A scheme to restore continuum Ward identities is proposed.
Lattice artifacts and gluino mass effects are analyzed.
Abstract
We present preliminary results of a study of the supersymmetric (SUSY) Ward identities (WIs) for the N=1 SU(2) SUSY Yang-Mills theory in the context of one-loop lattice perturbation theory. The supersymmetry on the lattice is explicitly broken by the gluino mass and the lattice artifacts. However, the renormalization of the supercurrent can be carried out in a scheme that restores the nominal continuum WIs. The perturbative calculation of the renormalization constants and mixing coefficients for the local supercurrent is presented.
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