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

Harald Grosse; Raimar Wulkenhaar

doi:10.1007/s11005-004-5116-3

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

Harald Grosse·Raimar Wulkenhaar

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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.

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Harald Grosse, Raimar Wulkenhaar. 2004-03-23. Renormalisation of ϕ^4-theory on noncommutative R^4 to all orders. https://doi.org/10.1007/s11005-004-5116-3

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