Matrix φ^4 models on the fuzzy sphere and their continuum limits

Dolan, Brian P., O'Connor, Denjoe and Prešnajder, Peter (2002) Matrix φ^4 models on the fuzzy sphere and their continuum limits. (Preprint)

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Abstract

We demonstrate that the UV/IR mixing problems found recently for a scalar φ^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 φ^4 vertex. In the limit of the commutative sphere, the perturbation theory of this modified action matches that of the commutative theory.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 13 Jun 2018 13:10
Last Modified: 20 Dec 2022 09:01
URI: https://dair.dias.ie/id/eprint/445

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