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

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.

Lattice 2000 (Supersymmetry), 4 pges, 2 figures

References in corpus (2)

• Monte Carlo simulation of SU(2) Yang-Mills theory with light gluinos
• One loop calculation of SUSY Ward-Takahashi identity on lattice with Wilson fermion

Cited by in corpus (4)

• Supersymmetric Yang-Mills theory on the lattice
• Supersymmetry, chiral symmetry and the generalized BRS transformation in lattice formulations of 4D $\mathcal{N}=1$ SYM
• The Supersymmetric Ward-Takahashi Identity in 1-Loop Lattice Perturbation Theory. I. General Procedure
• Ferrara--Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D $\mathcal{N}=1$ SYM