Quantum field theory on the degenerate Moyal space
arXiv:0803.1035 · doi:10.4171/JNCG/66
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.
21 pages, 4 figures. We use the techniques of the previous version in a conclusive manner on the degenerate Moyal space