Speaker
Mr
Kohta Hatakeyama
(Shizuoka University)
Description
We study renormalization on the fuzzy sphere. We perform Monte Carlo simulation of a scalar field theory on the fuzzy sphere, 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 plays a role of 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 the UV/IR mixing at long distances.
Primary author
Mr
Kohta Hatakeyama
(Shizuoka University)
Co-authors
Prof.
Asato Tsuchiya
(Shizuoka University)
Mr
Kazushi Yamashiro
(Shizuoka University)