Divergences in QFT on the Noncommutative Minkowski Space with Grosse-Wulkenhaar potential
High Energy Physics - Theory
2011-05-04 v1
Abstract
We study quantum field theory on the two-dimensional Noncommutative Minkoswki space with a Grosse-Wulkenhaar potential. We explicitly construct the retarded propagator and show that it is not a tempered distribution. This leads to problems when trying to define planar products of such distributions, as they appear in the Yang-Feldman series. At and above the self-dual point, these can no longer be defined, not even at different points. This shows that we do not deal with an ordinary ultraviolet divergence.
Keywords
Cite
@article{arxiv.1105.0535,
title = {Divergences in QFT on the Noncommutative Minkowski Space with Grosse-Wulkenhaar potential},
author = {Jochen Zahn},
journal= {arXiv preprint arXiv:1105.0535},
year = {2011}
}
Comments
8 pages, Contribution to the proceedings of the Corfu Summer Institute on Elementary Particles and Physics 2010