Matrix models on the fuzzy sphere
High Energy Physics - Theory
2007-05-23 v1
Abstract
Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximation of field theory on the standard commutative sphere. We investigate from this point of view the scalar theory. We demonstrate that the UV/IR mixing problems of this theory are localized to the tadpole diagrams and can be removed by an appropiate (fuzzy) normal ordering of the vertex. The perturbative expansion of this theory reduces in the commutative limit to that on the commutative sphere.
Keywords
Cite
@article{arxiv.hep-th/0204219,
title = {Matrix models on the fuzzy sphere},
author = {Brian P. Dolan and Denjoe O'Connor and Peter Presnajder},
journal= {arXiv preprint arXiv:hep-th/0204219},
year = {2007}
}
Comments
6 pages, LaTeX2e, Talk given at the NATO Advanced Research Workshop on Confiment, Topology, and other Non-Perturbative Aspects of QCD, Stara Lesna, Slovakia, Jan. 21-27, 2002