Deformed Special Relativity and Deformed Symmetries in a Canonical Framework

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dc.creatorGhosh, Subir
dc.creatorPal, Probir
dc.date2007-02-20
dc.date2007-05-04
dc.date.accessioned2026-07-07T11:23:40Z
dc.date.available2026-07-07T11:23:40Z
dc.descriptionIn this paper we have studied the nature of kinematical and dynamical laws in $κ$-Minkowski spacetime from a new perspective: the canonical phase space approach. We discuss a particular form of $κ$-Minkowski phase space algebra that yields the $κ$-extended finite Lorentz transformations derived in \cite{kim}. This is a particular form of a Deformed Special Relativity model that admits a modified energy-momentum dispersion law as well as noncommutative $κ$-Minkowski phase space. We show that this system can be completely mapped to a set of phase space variables that obey canonical (and {\it{not}} $κ$-Minkowski) phase space algebra and Special Relativity Lorentz transformation (and {\it{not}} $κ$-extended Lorentz transformation). The complete set of deformed symmetry generators are constructed that obeys an unmodified closed algebra but induce deformations in the symmetry transformations of the physical $κ$-Minkowski phase space variables. Furthermore, we demonstrate the usefulness and simplicity of this approach through a number of phenomenological applications both in classical and quantum mechanics. We also construct a Lagrangian for the $κ$-particle.
dc.descriptionRevised version with change in Title and Abstract, No change in mathematical content, Reference section enlarged, Discussion on Soccer Ball Problem removed; Version to appear in PRD
dc.identifierhttps://arxiv.org/abs/hep-th/0702159
dc.identifierhttp://arxiv.org/abs/hep-th/0702159
dc.identifierPhys.Rev.D75:105021,2007
dc.identifierdoi:10.1103/PhysRevD.75.105021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194966
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectQuantum Physics
dc.titleDeformed Special Relativity and Deformed Symmetries in a Canonical Framework
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