Authors: Simon Catterall Eric Dzienkowski Joel Giedt Anosh Joseph Robert Wells
Publish Date: 2011/04/14
Volume: 2011, Issue: 4, Pages: 74-
Abstract
We consider mathcalN = 4 super YangMills theory on a fourdimensional lattice The lattice formulation under consideration retains one exact supersymmetry at nonzero lattice spacing We show that this feature combined with gauge invariance and the large point group symmetry of the lattice theory ensures that the only counterterms that appear at any order in perturbation theory correspond to renormalizations of existing terms in the bare lattice action In particular we find that no mass terms are generated at any finite order of perturbation theory We calculate these renormalizations by examining the fermion and auxiliary boson self energies at one loop and find that they all exhibit a common logarithmic divergence which can be absorbed by a single wavefunction renormalization This finding implies that at one loop only a fine tuning of the finite parts is required to regain full supersymmetry in the continuum limit
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