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

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

2004-03-23

arxiv.org/abs/hep-th/0403232v1

Lett. Math. Phys.71:13-26, 2005

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 14 figures, LaTeX

Scientific paper

10.1007/s11005-004-5116-3

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.

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