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The Groenewold-Moyal plane and its quantum physics

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.contributor.authorBalachandran, Aiyalan P.
dc.contributor.authorPadmanabhan, Pramod
dc.date.accessioned2010-02-19T09:22:50Z
dc.date.available2010-02-19T09:22:50Z
dc.date.issued2009-12-15
dc.description10 pages, no figures.-- PACS nrs.: 03.70.+k, 02.30.Nw, 11.10.Nx, 04.60.Bc.-- ArXiv pre-print available at: http://arxiv.org/abs/0908.3888v1.pdf
dc.descriptionThis work is based on the talk given by APB at the XXV Max Born Symposium on Planck Scale Physics, Wroclaw, 29 June-3 July 2009.
dc.description.abstractQuantum theories constructed on the noncommutative spacetime called the Groenewold-Moyal(GM) plane exhibit many interesting properties such as causality violation, Lorentz and CPT non-invariance and twisted statistics. Such violations lead to many striking features that may be tested experimentally. Thus these theories predict Pauli-forbidden transitions due to twisted statistics, anisotropies and acausal effects in the cosmic microwave background radiation in correlations of observables and Lorentz and CPT violations in scattering amplitudes. Such features of quantum physics on the GM plane are surveyed in this review.
dc.description.sponsorshipAPB thanks Alberto Ibort and the Universidad Carlos III de Madrid for their kind hospitality and support. This work was partially supported by the US Department of Energy under grant number DEFG02-85ER40231.
dc.description.statusPublicado
dc.format.mimetypetext/html
dc.identifier.bibliographicCitationAIP Conference Proceedings, vol. 1196: The Planck Scale: Proceedings of the XXV Max Born Symposium, p. 18-27
dc.identifier.doi10.1063/1.3284382
dc.identifier.issn0094-243X
dc.identifier.urihttps://hdl.handle.net/10016/6939
dc.language.isoeng
dc.publisherAmerican Institute of Physics
dc.relation.publisherversionhttp://dx.doi.org/10.1063/1.3284382
dc.rights© American Institute of Physics
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherQuantum field theory
dc.subject.otherFourier analysis
dc.subject.otherUnified field theories
dc.subject.otherQuantum gravity
dc.titleThe Groenewold-Moyal plane and its quantum physics
dc.typeconference paper*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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