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Matrix ϕ4 Models on the Fuzzy Sphere and their Continuum Limits

Dolan, Brian P. and O'Connor, Denjoe and Presnajder, P. (2002) Matrix ϕ4 Models on the Fuzzy Sphere and their Continuum Limits. Journal of High Energy Physics, 3 (013). pp. 1-16. ISSN 1126-6708

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Abstract

We demonstrate that the UV/IR mixing problems found recently for a scalar ' 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 ' 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
Additional Information: Preprint of published article. It is a pleasure to thank Sachin Vaidya for discussions which led to this work. We also benefited from comments especially of A.P. Balachandran, Oliver Jahn and Alan Stern. This work was supported by the joint CONACyT-NSF grant E120.0462/2000 and by CONACyT grant 30422-E. The work of P.P. was partially supported by VEGA project 1/7069/20.
Keywords: Renormalization Regularization; Renormalons; Field Theories; Lower Dimensions; Non-Commutative Geometry;
Subjects: Science & Engineering > Mathematical Physics
Item ID: 2715
Identification Number: 10.1088/1126-6708/2002/03/013
Depositing User: Dr. Brian Dolan
Date Deposited: 15 Sep 2011 10:45
Journal or Publication Title: Journal of High Energy Physics
Publisher: Institute of Physics
Refereed: No
URI:

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