Field theory on $κ$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry

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dc.creatorFreidel, L.
dc.creatorKowalski-Glikman, J.
dc.creatorNowak, S.
dc.date2007-06-25
dc.date2007-07-26
dc.date.accessioned2026-07-07T11:57:01Z
dc.date.available2026-07-07T11:57:01Z
dc.descriptionThis paper is devoted to detailed investigations of free scalar field theory on $κ$-Minkowski space. After reviewing necessary mathematical tools we discuss in depth the Lagrangian and solutions of field equations. We analyze the spacetime symmetries of the model and construct the conserved charges associated with translational and Lorentz symmetry. We show that the version of the theory usually studied breaks Lorentz invariance in a subtle way: There is an additional trans-Planckian mode present, and an associated conserved charge (the number of such modes) is not a Lorentz scalar.
dc.description22 pages, 1 figure, formulas in sect. III corrected
dc.identifierhttps://arxiv.org/abs/0706.3658
dc.identifierhttp://arxiv.org/abs/0706.3658
dc.identifierInt.J.Mod.Phys.A23:2687-2718,2008
dc.identifierdoi:10.1142/S0217751X08040421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205737
dc.subjectHigh Energy Physics - Theory
dc.titleField theory on $κ$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry
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