On the 1-loop lattice perturbation theory of the supersymmetric Ward identities

TL;DR

This paper investigates the one-loop corrections to supersymmetric Ward identities in lattice N=1 SU(2) super Yang-Mills theory, focusing on renormalization of the supercurrent despite SUSY breaking by discretization.

Contribution

It provides a perturbative computation of the one-loop renormalization constants and mixing coefficients for the local supercurrent in lattice supersymmetric Yang-Mills theory.

Findings

Renormalization constants for the supercurrent are computed at one-loop.

Mixing coefficients for the supercurrent are determined.

The scheme restores continuum Ward identities despite lattice SUSY breaking.

Abstract

The one loop corrections to the supersymmetric Ward identities (WIs) in the discretized N=1 SU(2) supersymmetric Yang-Mills theory can be investigated by means of lattice perturbation theory. The supersymmetry (SUSY) is explicitly broken by the lattice discretization as well as by the introduction of Wilson fermions. However, the renormalization of the supercurrent can be carried out in a scheme that restores the nominal continuum WIs. We present our work in progress which is concerned with the 1-loop renormalization of the local supercurrent, i.e. with the perturbative computation of the corresponding renormalization constants and mixing coefficients.