Extended 2D generalized dilaton gravity theories

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dc.contributor.authorde Mello, R. O. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:56:21Z
dc.date.accessioned2014-05-20T14:10:48Z
dc.date.available2013-09-30T18:56:21Z
dc.date.available2014-05-20T14:10:48Z
dc.date.issued2008-09-07
dc.description.abstractWe 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 centre 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 guages the extra symmetry associated with the centre 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 spacetime. Further, we couple a test particle to the general extended dilaton models with the purpose of showing that they predict a noncommutativity in curved spacetime, 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 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.en
dc.description.affiliationSão Paulo State Univ UNESP, Inst Theoret Phys IFT, BR-01405900 São Paulo, Brazil
dc.description.affiliationUnespSão Paulo State Univ UNESP, Inst Theoret Phys IFT, BR-01405900 São Paulo, Brazil
dc.description.sponsorshipIFT/UNESP
dc.format.extent21
dc.identifierhttp://dx.doi.org/10.1088/0264-9381/25/17/175003
dc.identifier.citationClassical and Quantum Gravity. Bristol: Iop Publishing Ltd, v. 25, n. 17, p. 21, 2008.
dc.identifier.doi10.1088/0264-9381/25/17/175003
dc.identifier.issn0264-9381
dc.identifier.urihttp://hdl.handle.net/11449/24375
dc.identifier.wosWOS:000258617100004
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofClassical and Quantum Gravity
dc.relation.ispartofjcr3.283
dc.relation.ispartofsjr1,809
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleExtended 2D generalized dilaton gravity theoriesen
dc.typeArtigo
dcterms.licensehttp://authors.iop.org/atom/help.nsf/0/F20EC7D4A1A670AA80256F1C0053EEFF?OpenDocument
dcterms.rightsHolderIop Publishing Ltd
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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