English

Higher-derivative gauge theories from noncommutative geometry

High Energy Physics - Theory 2011-10-12 v1 Mathematical Physics math.MP

Abstract

In this short note we review the interpretation of the spectral action for the Yang-Mills system in noncommutative geometry as a higher-derivative gauge theory, adopting an asymptotic expansion in a cutoff parameter. We recall our previous results on superrenormalizability of the resulting higher-derivative Yang-Mills gauge theory and confront this with [6] where these very results were erroneously claimed to be incorrect. We explain how their approach differs from ours, thus clarifying the apparent mismatch.

Keywords

Cite

@article{arxiv.1110.2325,
  title  = {Higher-derivative gauge theories from noncommutative geometry},
  author = {Walter D. van Suijlekom},
  journal= {arXiv preprint arXiv:1110.2325},
  year   = {2011}
}

Comments

2 pages

R2 v1 2026-06-21T19:18:27.577Z