Renormalisation of ϕ^4-theory on noncommutative R^4 to all orders

Abstract

We present the main ideas and techniques of the proof that the duality-covariant four-dimensional noncommutative ϕ^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

References in corpus (2)

• Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
• The β-function in duality-covariant noncommutative ϕ^4-theory

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