One-loop $β$ functions of a translation-invariant renormalizable noncommutative scalar model
| dc.creator | Geloun, Joseph Ben | |
| dc.creator | Tanasa, Adrian | |
| dc.date | 2008-06-24 | |
| dc.date | 2008-09-15 | |
| dc.date.accessioned | 2026-07-07T12:14:48Z | |
| dc.date.available | 2026-07-07T12:14:48Z | |
| dc.description | Recently, a new type of renormalizable $ϕ^{\star 4}_{4}$ scalar model on the Moyal space was proved to be perturbatively renormalizable. It is translation-invariant and introduces in the action a $a/(θ^2p^2)$ term. We calculate here the $β$ and $γ$ functions at one-loop level for this model. The coupling constant $β_λ$ function is proved to have the same behaviour as the one of the $ϕ^4$ model on the commutative $\mathbb{R}^4$. The $β_a$ function of the new parameter $a$ is also calculated. Some interpretation of these results are done. | |
| dc.description | 13 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0806.3886 | |
| dc.identifier | http://arxiv.org/abs/0806.3886 | |
| dc.identifier | Lett.Math.Phys.86:19-32,2008 | |
| dc.identifier | doi:10.1007/s11005-008-0270-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211319 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 76F30; 81T75; 46L65; 53D55 | |
| dc.title | One-loop $β$ functions of a translation-invariant renormalizable noncommutative scalar model | |
| dc.type | text |