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arXiv · hep-th/0204219

Matrix models on the fuzzy sphere

Brian P. Dolan·Denjoe O'Connor·Peter Presnajder
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Abstract

Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximation of field theory on the standard commutative sphere. We investigate from this point of view the scalar $ϕ^4$ theory. We demonstrate that the UV/IR mixing problems of this theory are localized to the tadpole diagrams and can be removed by an appropiate (fuzzy) normal ordering of the $ϕ^4$ vertex. The perturbative expansion of this theory reduces in the commutative limit to that on the commutative sphere.

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Brian P. Dolan, Denjoe O'Connor, Peter Presnajder. 2002-04-25. Matrix models on the fuzzy sphere. https://arxiv.org/abs/hep-th/0204219

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