Matrix $\phi^4$ Models on the Fuzzy Sphere and their Continuum Limits
High Energy Physics - Theory
2009-11-07 v1
Abstract
We demonstrate that the UV/IR mixing problems found recently for a scalar theory on the fuzzy sphere are localized to tadpole diagrams and can be overcome by a suitable modification of the action. This modification is equivalent to normal ordering the vertex. In the limit of the commutative sphere, the perturbation theory of this modified action matches that of the commutative theory.
Cite
@article{arxiv.hep-th/0109084,
title = {Matrix $\phi^4$ Models on the Fuzzy Sphere and their Continuum Limits},
author = {Brian P. Dolan and Denjoe O'Connor and P. Presnajder},
journal= {arXiv preprint arXiv:hep-th/0109084},
year = {2009}
}
Comments
19 pages of LaTeX, with 3 figures