A model for the motion of a particle in a quantum background
| dc.creator | Noui, Karim | |
| dc.date | 2008-07-07 | |
| dc.date.accessioned | 2026-07-07T11:52:19Z | |
| dc.date.available | 2026-07-07T11:52:19Z | |
| dc.description | We are studying the dynamics of a one-dimensional field in a non-commutative Euclidean space. The non-commutative space we consider is the one that emerges in the context of three dimensional Euclidean quantum gravity: it is a deformation of the classical Euclidean space and the Planck length plays the role of the deformation parameter. The field is interpreted as a particle which evolves in a quantum background. When the dynamics of the particle is linear, the resulting motion is similar to the standard motion in the classical space. However, non-linear dynamics on the non-commutative space are different from the corresponding non-linear dynamics on the classical space. These discrepencies are interpreted as "quantum gravity" effects. Finally, we propose a background independent description of the propagation of the particle in the quantum geometry. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0807.0969 | |
| dc.identifier | http://arxiv.org/abs/0807.0969 | |
| dc.identifier | Phys.Rev.D78:105008,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.105008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204195 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A model for the motion of a particle in a quantum background | |
| dc.type | text |