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arXiv · 1805.03975

Renormalization on the fuzzy sphere

Kohta Hatakeyama·Asato Tsuchiya·Kazushi Yamashiro
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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.

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Kohta Hatakeyama, Asato Tsuchiya, Kazushi Yamashiro. 2018-05-09. Renormalization on the fuzzy sphere. https://doi.org/10.1093/ptep%2Fpty064

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