3D and 4D noncommutative electromagnetic duality and the role of the slowly varying fields limit
| dc.creator | Rodrigues, Davi C. | |
| dc.creator | Wotzasek, Clovis | |
| dc.date | 2006-11-05 | |
| dc.date.accessioned | 2026-07-07T11:02:58Z | |
| dc.date.available | 2026-07-07T11:02:58Z | |
| dc.description | We study classical noncommutative (NC) electromagnetic duality in both 3D and 4D space-times through the Seiberg-Witten (SW) map to all orders in theta. We evaluate the role of space-time dimensions, of the gauge coupling constant g^2 inversion, of the slowly varying fields (SVF) limit and of the rule theta --> g^2 *theta (where * is the Hodge duality operator), which was originally found in the 4D space-time. Among our results, a new scalar picture for NC electromagnetism to second order in theta is established, a formula which simplifies considerably the application of the SW map in 3D is presented and we show that the SVF limit has a crucial role in this duality starting from the third order in theta for any dimension: outside this limit the symmetry between theta and g^2 *theta is lost. | |
| dc.description | 10 pages, PoS style, Fifth International Conference on Mathematical Methods in Physics | |
| dc.identifier | https://arxiv.org/abs/hep-th/0611050 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0611050 | |
| dc.identifier | PoSIC2006:048,2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/188431 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | 3D and 4D noncommutative electromagnetic duality and the role of the slowly varying fields limit | |
| dc.type | text |