Renormalisation of \phi^4-theory on noncommutative R^4 to all orders
High Energy Physics - Theory
2011-09-16 v1
Abstract
We present the main ideas and techniques of the proof that the duality-covariant four-dimensional noncommutative \phi^4-model is renormalisable to all orders. This includes the reformulation as a dynamical matrix model, the solution of the free theory by orthogonal polynomials as well as the renormalisation by flow equations involving power-counting theorems for ribbon graphs drawn on Riemann surfaces.
Keywords
Cite
@article{arxiv.hep-th/0403232,
title = {Renormalisation of \phi^4-theory on noncommutative R^4 to all orders},
author = {Harald Grosse and Raimar Wulkenhaar},
journal= {arXiv preprint arXiv:hep-th/0403232},
year = {2011}
}
Comments
12 pages, 14 figures, LaTeX