Perturbative dynamics on fuzzy S^2 and RP^2
High Energy Physics - Theory
2009-11-07 v1
Abstract
By considering scalar theories on the fuzzy sphere as matrix models, we construct a renormalization scheme and calculate the one-loop effective action. Because of UV-IR mixing, the two- and the four-point correlators at low energy are not slowly varying functions of external momenta. Interestingly, we also find that field theories on fuzzy RP^2 avoid UV-IR mixing and hence are much more like conventional field theories. We calculate the one-loop beta-function for the O(N) theory on fuzzy RP^2 at large N and show that in addition to the trivial one, it has a nontrivial fixed point that is accessible in perturbation theory.
Keywords
Cite
@article{arxiv.hep-th/0102212,
title = {Perturbative dynamics on fuzzy S^2 and RP^2},
author = {Sachindeo Vaidya},
journal= {arXiv preprint arXiv:hep-th/0102212},
year = {2009}
}
Comments
14 pages, LaTex2e