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arXiv · 0803.1035

Quantum field theory on the degenerate Moyal space

Harald Grosse·Fabien Vignes-Tourneret
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Abstract

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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Harald Grosse, Fabien Vignes-Tourneret. 2008-10-07. Quantum field theory on the degenerate Moyal space. https://doi.org/10.4171/jncg%2F66

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