Extended 2d generalized dilaton gravity theories
| dc.creator | de Mello, R. O. | |
| dc.date | 2006-05-06 | |
| dc.date | 2008-08-06 | |
| dc.date.accessioned | 2026-07-07T11:59:24Z | |
| dc.date.available | 2026-07-07T11:59:24Z | |
| dc.description | We show that an anomaly-free description of matter in (1+1) dimensions requires a deformation of the 2d relativity principle, which introduces a non-trivial center in the 2d Poincare algebra. Then we work out the reduced phase-space of the anomaly-free 2d relativistic particle, in order to show that it lives in a noncommutative 2d Minkowski space. Moreover, we build a Gaussian wave packet to show that a Planck length is well-defined in two dimensions. In order to provide a gravitational interpretation for this noncommutativity, we propose to extend the usual 2d generalized dilaton gravity models by a specific Maxwell component, which gauges the extra symmetry associated with the center of the 2d Poincare algebra. In addition, we show that this extension is a high energy correction to the unextended dilaton theories that can affect the topology of space-time. Further, we couple a test particle to the general extended dilaton models with the purpose of showing that they predict a noncommutativity in curved space-time, which is locally described by a Moyal star product in the low energy limit. We also conjecture a probable generalization of this result, which provides a strong evidence that the noncommutativity is described by a certain star product which is not of the Moyal type at high energies. Finally, we prove that the extended dilaton theories can be formulated as Poisson-Sigma models based on a nonlinear deformation of the extended Poincare algebra. | |
| dc.description | 21 pages, IOP LaTeX2e preprint classfile, Improved discussions, Minor corrections, More didactic, More self-contained, New results concerning noncommutativity in curved space-time, Accepted for publication in Classical and Quantum Gravity on 02 Jul 2008 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0605069 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0605069 | |
| dc.identifier | Class.Quant.Grav.25:175003,2008 | |
| dc.identifier | doi:10.1088/0264-9381/25/17/175003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/206550 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Extended 2d generalized dilaton gravity theories | |
| dc.type | text |