Quantum field theory on the degenerate Moyal space

Details Quantum field theory on the degenerate Moyal space Quantum field theory on the degenerate Moyal space

2008-03-07

arxiv.org/abs/0803.1035v2

J.Noncommut.Geom.4:555-576,2010

Physics

Mathematical Physics

21 pages, 4 figures. We use the techniques of the previous version in a conclusive manner on the degenerate Moyal space

Scientific paper

10.4171/JNCG/66

We prove that the self-interacting scalar field on the four-dimensional degenerate Moyal plane is renormalisable to all orders when adding a suitable counterterm to the Lagrangean. Despite the apparent simplicity of the model, it raises several non trivial questions. Our result is a first step towards the definition of renormalisable quantum field theories on a non-commutative Minkowski space.

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