Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential
High Energy Physics - Theory
2011-05-04 v2
Abstract
Quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential is discussed in two ways: In terms of a continuous set of generalised eigenfunctions of the wave operator, and directly in position space. In both settings, we find a new type of divergence in planar graphs. It is present at and above the self-dual point. This new kind of divergence might make the construction of a Minkowski space version of the Grosse-Wulkenhaar model impossible.
Keywords
Cite
@article{arxiv.1005.0541,
title = {Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential},
author = {Jochen Zahn},
journal= {arXiv preprint arXiv:1005.0541},
year = {2011}
}
Comments
26 pages, published version