Matrix models on the fuzzy sphere

Details Matrix models on the fuzzy sphere Matrix models on the fuzzy sphere

2002-04-25

arxiv.org/abs/hep-th/0204219v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTeX2e, Talk given at the NATO Advanced Research Workshop on Confiment, Topology, and other Non-Perturbative Aspects

Scientific paper

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 $\phi^4$ 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 $\phi^4$ vertex. The perturbative expansion of this theory reduces in the commutative limit to that on the commutative sphere.

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