Background field technique and renormalization in lattice gauge theory
High Energy Physics - Lattice
2009-10-28 v1
Abstract
Lattice gauge theory with a background gauge field is shown to be renormalizable to all orders of perturbation theory. No additional counterterms are required besides those already needed in the absence of the background field. The argument closely follows the treatment given earlier for the case of dimensional regularization by Kluberg-Stern and Zuber. It is based on the BRS, background gauge and shift symmetries of the lattice functional integral.
Keywords
Cite
@article{arxiv.hep-lat/9504006,
title = {Background field technique and renormalization in lattice gauge theory},
author = {Martin Luescher and Peter Weisz},
journal= {arXiv preprint arXiv:hep-lat/9504006},
year = {2009}
}
Comments
26 pages, uuencoded compressed postscript file