A Lagrangian for DSR Particle and the Role of Noncommutativity

Simple item page
dc.creatorGhosh, Subir
dc.date2006-08-29
dc.date2006-09-26
dc.date.accessioned2026-07-07T10:26:02Z
dc.date.available2026-07-07T10:26:02Z
dc.descriptionIn this paper we have constructed a coordinate space (or geometric) Lagrangian for a point particle that satisfies the exact Doubly Special Relativity (DSR) dispersion relation in the Magueijo-Smolin framework. Next we demonstrate how a Non-Commutative phase space is needed to maintain Lorentz invariance for the DSR dispersion relation. Lastly we address the very important issue of velocity of this DSR particle. Exploiting the above Non-commutative phase space algebra in a Hamiltonian framework, we show that the speed of massless particles is $c$ and for massive particles the speed saturates at $c$ when the particle energy reaches the maximum value $κ$, the Planck mass.
dc.descriptionMinor changes, version to appear in PRD
dc.identifierhttps://arxiv.org/abs/hep-th/0608206
dc.identifierhttp://arxiv.org/abs/hep-th/0608206
dc.identifierPhys.Rev.D74:084019,2006
dc.identifierdoi:10.1103/PhysRevD.74.084019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176746
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA Lagrangian for DSR Particle and the Role of Noncommutativity
dc.typetext

Files

Collections

arXiv