New Scaling Limit for Fuzzy Spheres
| dc.creator | Vaidya, S. | |
| dc.creator | Ydri, B. | |
| dc.date | 2002-09-16 | |
| dc.date | 2003-06-14 | |
| dc.date.accessioned | 2026-07-07T04:14:08Z | |
| dc.date.available | 2026-07-07T04:14:08Z | |
| dc.description | Using a new scaling limit as well as a new cut-off procedure, we show that $ϕ^4$ theory on noncommutative ${\bf R}^4$ can be obtained from the corresponding theory on fuzzy ${\bf S}^2 \times {\bf S}^2$. The star-product on this noncommutative ${\bf R}^4$ is effectively local in the sense that the theory naturally has an ultra-violet cut-off $Λ$ which is inversely proportional to the noncommutativity $θ$, i.e $ Λ= \frac{2}θ$. We show that the UV-IR mixing in this case is absent to one loop in the $2-$point function and also comment on the $4-$point function. | |
| dc.description | 13 pages, latex | |
| dc.identifier | https://arxiv.org/abs/hep-th/0209131 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0209131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51512 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | New Scaling Limit for Fuzzy Spheres | |
| dc.type | text |