Renormalisation of φ4-theory on noncommutative R4 to all orders
Abstract
We present the main ideas and techniques of the proof that the duality-covariant four-dimensional noncommutative φ4-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.
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