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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
105 (Kellogg Hotel and Conference Center)


Kellogg Hotel and Conference Center

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


Mr Kohta Hatakeyama (Shizuoka University)


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)


Prof. Asato Tsuchiya (Shizuoka University) Mr Kazushi Yamashiro (Shizuoka University)

Presentation Materials