Renormalization on the fuzzy sphere
High Energy Physics - Theory
2018-07-04 v3 High Energy Physics - Lattice
Abstract
We study renormalization on the fuzzy sphere. We numerically simulate a scalar field theory on it, which is described by a Hermitian matrix model. We show that correlation functions defined by using the Berezin symbol are made independent of the matrix size, which is viewed as a UV cutoff, by tuning a parameter of the theory. We also find that the theories on the phase boundary are universal. They behave as a conformal field theory at short distances, while they show an effect of UV/IR mixing at long distances.
Cite
@article{arxiv.1805.03975,
title = {Renormalization on the fuzzy sphere},
author = {Kohta Hatakeyama and Asato Tsuchiya and Kazushi Yamashiro},
journal= {arXiv preprint arXiv:1805.03975},
year = {2018}
}
Comments
19 pages, 12 figures, minor changes