Perturbative renormalization of lattice N=4 super Yang-Mills theory

Details Perturbative renormalization of lattice N=4 super Yang-Mills theory Perturbative renormalization of lattice N=4 super Yang-Mills theory

2011-02-08

arxiv.org/abs/1102.1725v2

JHEP 1104:074,2011

Physics

High Energy Physics

High Energy Physics - Theory

v2. Minor corrections, references added

Scientific paper

10.1007/JHEP04(2011)074

We consider N=4 super Yang-Mills theory on a four-dimensional lattice. The lattice formulation under consideration retains one exact supersymmetry at non-zero 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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