Dolan, Brian P. and O'Connor, Denjoe and Presnajder, Peter (2002) Matrix Models on the Fuzzy Sphere. Working Paper. arXiv.org.

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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 Ø4 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 Ø4 vertex. The perturbative expansion of this theory reduces in the commutative limit to that on the commutative sphere.

Item Type:	Monograph (Working Paper)
Additional Information:	Talk given at the NATO Advanced Research Workshop on Confiment, Topology, and other Non-Perturbative Aspects of QCD, Stara Lesna, Slovakia, Jan. 21-27, 2002
Keywords:	Matrix Models; Fuzzy Sphere;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	5931
Identification Number:	arXiv:hep-th/0204219
Depositing User:	Dr. Brian Dolan
Date Deposited:	02 Mar 2015 16:53
Publisher:	arXiv.org
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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