29 citations · 66 across the 17 of their papers we have counts for
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Renormalization on the fuzzy sphere
Kohta Hatakeyama, Asato Tsuchiya, Kazushi Yamashiro
We study renormalization on the fuzzy sphere, which is a typical example of non-commutative spaces. We numerically simulate a scalar field theory on the fuzzy sphere, which is desc…
Equivalence of large- gauge theories on a group manifold and its coset space
Kohta Hatakeyama, Asato Tsuchiya
It was shown in arXiv:0912.1456 that the large- reduction holds on group manifolds in the sense that a large- gauge theory on a group manifold is realized by a matrix model w…
Renormalization on the fuzzy sphere
Kohta Hatakeyama, Asato Tsuchiya, Kazushi Yamashiro
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 function…