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Dolan, Brian P., 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; |
| Academic Unit: | Faculty of Science and 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2715 |
| 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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