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Dolan, Brian P., O'Connor, Denjoe and Presnajder, Peter (2002) Matrix Models on the Fuzzy Sphere. Working Paper. arXiv.org.
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Official URL: http://arxiv.org/pdf/hep-th/0204219v1.pdf
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: | https://mural.maynoothuniversity.ie/id/eprint/5931 |
| 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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