Quantum field theory on the degenerate Moyal space
Mathematical Physics
2011-03-02 v2 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.0803.1035,
title = {Quantum field theory on the degenerate Moyal space},
author = {Harald Grosse and Fabien Vignes-Tourneret},
journal= {arXiv preprint arXiv:0803.1035},
year = {2011}
}
Comments
21 pages, 4 figures. We use the techniques of the previous version in a conclusive manner on the degenerate Moyal space