Renormalisation of Ï^4-theory on noncommutative R^4 to all orders
arXiv:hep-th/0403232 · doi:10.1007/s11005-004-5116-3
Abstract
We present the main ideas and techniques of the proof that the duality-covariant four-dimensional noncommutative Ï^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.
12 pages, 14 figures, LaTeX