Color Grosse-Wulkenhaar models: One-loop $\beta$-functions
High Energy Physics - Theory
2008-12-18 v1
Abstract
The -functions of O(N) and U(N) invariant Grosse-Wulkenhaar models are computed at one loop using the matrix basis. In particular, for ``parallel interactions", the model is proved asymptotically free in the UV limit for , and has a triviality problem or Landau ghost for . The vanishing -function is recovered solely at N=1. We discuss various possible consequences of these results.
Cite
@article{arxiv.0805.2538,
title = {Color Grosse-Wulkenhaar models: One-loop $\beta$-functions},
author = {Joseph Ben Geloun and Vincent Rivasseau},
journal= {arXiv preprint arXiv:0805.2538},
year = {2008}
}
Comments
14 pages, 6 Figures