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2018

Renormalization on the fuzzy sphere

Hatakeyama, Kohta, Tsuchiya, Asato, Yamashiro, Kazushi

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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.

Renormalization on the fuzzy sphere · Around

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