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dc.contributor.authorGalán, Pablo-
dc.contributor.authorMena Marugán, Guillermo A.-
dc.identifier.citationPhysical Review D, 72 (4), id. 044019 (2005)en_US
dc.description13 pags. ; appendixen_US
dc.description.abstractIt is commonly accepted that the combination of quantum mechanics and general relativity gives rise to the emergence of a minimum uncertainty both in space and time. The arguments that support this conclusion are mainly based on perturbative approaches to the quantization, in which the gravitational interactions of the matter content are described as corrections to a classical background. In a recent paper, we analyzed the existence of a minimum time uncertainty in the framework of doubly special relativity. In this framework, the standard definition of the energy-momentum of particles is modified appealing to possible quantum gravitational effects, which are not necessarily perturbative. Demanding that this modification be completed into a canonical transformation determines the implementation of doubly special relativity in position space and leads to spacetime coordinates that depend on the energy-momentum of the particle. In the present work, we extend our analysis to the quantum length uncertainty. We show that, in generic cases, there actually exists a limit in the spatial resolution, both when the quantum evolution is described in terms of the auxiliary time corresponding to the Minkowski background or in terms of the physical time. These two kinds of evolutions can be understood as corresponding to perturbative and nonperturbative descriptions, respectively. This result contrasts with that found for the time uncertainty, which can be made to vanish in all models with unbounded physical energy if one adheres to a nonperturbative quantization.en_US
dc.description.sponsorshipCSIC and the European Social Fund for the financial support provided by an I3P grant. This work was supported by funds provided by the Spanish MEC-MCYT Projects No. BFM2002- 04031-C02-02 and No. FIS2004-01912.en_US
dc.format.extent180243 bytes-
dc.publisherAmerican Physical Societyen_US
dc.subjectPerturbation theoryen_US
dc.subjectQuantisation (quantum theory)en_US
dc.subjectQuantum gravityen_US
dc.subjectGeneral relativityen_US
dc.subjectSpecial relativityen_US
dc.titleLength uncertainty in a gravity's rainbow formalismen_US
dc.description.peerreviewedPeer revieweden_US
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