Matrix $φ^4$ Models on the Fuzzy Sphere and their Continuum Limits

Details Matrix $φ^4$ Models on the Fuzzy Sphere and their Continuum Limits Matrix $φ^4$ Models on the Fuzzy Sphere and their Continuum Limits

2001-09-11

arxiv.org/abs/hep-th/0109084v1

JHEP 0203 (2002) 013

Physics

High Energy Physics

High Energy Physics - Theory

19 pages of LaTeX, with 3 figures

Scientific paper

10.1088/1126-6708/2002/03/013

We demonstrate that the UV/IR mixing problems found recently for a scalar $\phi^4$ theory on the fuzzy sphere are localized to tadpole diagrams and can be overcome by a suitable modification of the action. This modification is equivalent to normal ordering the $\phi^4$ vertex. In the limit of the commutative sphere, the perturbation theory of this modified action matches that of the commutative theory.

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