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22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

Renormalization on the fuzzy sphere

Jul 23, 2018, 3:20 PM
20m
105 (Kellogg Hotel and Conference Center)

105

Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Applications Beyond QCD Applications beyond QCD

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)

Presentation Materials