Title

Perturbative Renormalization of Lattice N=4 Super Yang-Mills Theory

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
Eric Dzienkowski, University of California - Santa Barbara
Joel Giedt, Rensselaer Polytechnic Institute
Anosh Joseph, Syracuse University
Robert Wells, University of Cambridge

Document Type

Article

Date

3-8-2011

Language

English

Disciplines

Physics

Description/Abstract

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.

Additional Information

v2. Minor corrections, references added More information at http://arxiv.org/abs/1102.1725

Recommended Citation

Catterall, Simon; Dzienkowski, Eric; Giedt, Joel; Joseph, Anosh; and Wells, Robert, "Perturbative Renormalization of Lattice N=4 Super Yang-Mills Theory" (2011). Physics - All Scholarship. 429.
https://surface.syr.edu/phy/429

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.