Hamilton geometry: Phase space geometry from modified dispersion relations

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dc.identifier.uri http://dx.doi.org/10.15488/2068
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2093
dc.contributor.author Barcaroli, Leonardo
dc.contributor.author Brunkhorst, Lukas K.
dc.contributor.author Gubitosi, Giulia
dc.contributor.author Loret, Niccoló
dc.contributor.author Pfeifer, Christian
dc.date.accessioned 2017-10-20T13:13:18Z
dc.date.available 2017-10-20T13:13:18Z
dc.date.issued 2015
dc.identifier.citation Barcaroli, L.; Brunkhorst, L.K.; Gubitosi, G.; Loret, N.; Pfeifer, C.: Hamilton geometry: Phase space geometry from modified dispersion relations. In: Physical Review D - Particles, Fields, Gravitation and Cosmology 92 (2015), Nr. 8, No. 84053. DOI: https://doi.org/10.1103/PhysRevD.92.084053
dc.description.abstract We describe the Hamilton geometry of the phase space of particles whose motion is characterized by general dispersion relations. In this framework spacetime and momentum space are naturally curved and intertwined, allowing for a simultaneous description of both spacetime curvature and nontrivial momentum space geometry. We consider as explicit examples two models for Planck-scale modified dispersion relations, inspired from the q–de Sitter and κ-Poincaré quantum groups. In the first case we find the expressions for the momentum and position dependent curvature of spacetime and momentum space, while for the second case the manifold is flat and only the momentum space possesses a nonzero, momentum dependent curvature. In contrast, for a dispersion relation that is induced by a spacetime metric, as in general relativity, the Hamilton geometry yields a flat momentum space and the usual curved spacetime geometry with only position dependent geometric objects. © 2015 American Physical Society. eng
dc.language.iso eng
dc.publisher College Park, MD : American Physical Society
dc.relation.ispartofseries Physical Review D 92 (2015), Nr. 8
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.subject.ddc 530 | Physik ger
dc.title Hamilton geometry: Phase space geometry from modified dispersion relations
dc.type article
dc.type Text
dc.relation.issn 15507998
dc.relation.doi https://doi.org/10.1103/PhysRevD.92.084053
dc.bibliographicCitation.issue 8
dc.bibliographicCitation.volume 92
dc.bibliographicCitation.firstPage 84053
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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