Renormalization of the spectral action for the Yang-Mills system
Mathematical Physics
2011-04-05 v2 High Energy Physics - Theory
math.MP
Abstract
We establish renormalizability of the full spectral action for the Yang-Mills system on a flat 4-dimensional background manifold. Interpreting the spectral action as a higher-derivative gauge theory, we find that it behaves unexpectedly well as far as renormalization is concerned. Namely, a power counting argument implies that the spectral action is superrenormalizable. From BRST-invariance of the one-loop effective action, we conclude that it is actually renormalizable as a gauge theory.
Keywords
Cite
@article{arxiv.1101.4804,
title = {Renormalization of the spectral action for the Yang-Mills system},
author = {Walter D. van Suijlekom},
journal= {arXiv preprint arXiv:1101.4804},
year = {2011}
}
Comments
6 pages; 4 figures; minor corrections