Noncommutative fields and actions of twisted Poincare algebra

Simple item page
dc.creatorChaichian, M.
dc.creatorKulish, P. P.
dc.creatorTureanu, A.
dc.creatorZhang, R. B.
dc.creatorZhang, Xiao
dc.date2007-11-02
dc.date.accessioned2026-07-07T11:53:57Z
dc.date.available2026-07-07T11:53:57Z
dc.descriptionWithin the context of the twisted Poincaré algebra, there exists no noncommutative analogue of the Minkowski space interpreted as the homogeneous space of the Poincaré group quotiented by the Lorentz group. The usual definition of commutative classical fields as sections of associated vector bundles on the homogeneous space does not generalise to the noncommutative setting, and the twisted Poincaré algebra does not act on noncommutative fields in a canonical way. We make a tentative proposal for the definition of noncommutative classical fields of any spin over the Moyal space, which has the desired representation theoretical properties. We also suggest a way to search for noncommutative Minkowski spaces suitable for studying noncommutative field theory with deformed Poincaré symmetries.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0711.0371
dc.identifierhttp://arxiv.org/abs/0711.0371
dc.identifierJ.Math.Phys.49:042302,2008
dc.identifierdoi:10.1063/1.2907580
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204729
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleNoncommutative fields and actions of twisted Poincare algebra
dc.typetext

Files

Collections

arXiv