Five-dimensional mechanics as the starting point for the Magueijo-Smolin doubly special relativity

Abstract

We discuss a way to obtain the doubly special relativity kinematical rules (the deformed energy-momentum relation and the nonlinear Lorentz transformations of momenta) starting from a singular Lagrangian action of a particle with linearly realized SO(1,4) symmetry group. The deformed energy-momentum relation appears in a special gauge of the model. The nonlinear transformations of momenta arise from the requirement of covariance of the chosen gauge.

Original language	English
Pages (from-to)	173-176
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	702
Issue number	2-3
DOIs	https://doi.org/10.1016/j.physletb.2011.06.078
Publication status	Published - 11 Aug 2011
Externally published	Yes

Keywords

Doubly special relativity models
Nonlinear Lorentz transformations

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2011.06.078

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title = "Five-dimensional mechanics as the starting point for the Magueijo-Smolin doubly special relativity",

abstract = "We discuss a way to obtain the doubly special relativity kinematical rules (the deformed energy-momentum relation and the nonlinear Lorentz transformations of momenta) starting from a singular Lagrangian action of a particle with linearly realized SO(1,4) symmetry group. The deformed energy-momentum relation appears in a special gauge of the model. The nonlinear transformations of momenta arise from the requirement of covariance of the chosen gauge.",

keywords = "Doubly special relativity models, Nonlinear Lorentz transformations",

author = "Rizzuti, {B. F.} and Deriglazov, {A. A.}",

year = "2011",

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doi = "10.1016/j.physletb.2011.06.078",

language = "English",

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pages = "173--176",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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AU - Rizzuti, B. F.

AU - Deriglazov, A. A.

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N2 - We discuss a way to obtain the doubly special relativity kinematical rules (the deformed energy-momentum relation and the nonlinear Lorentz transformations of momenta) starting from a singular Lagrangian action of a particle with linearly realized SO(1,4) symmetry group. The deformed energy-momentum relation appears in a special gauge of the model. The nonlinear transformations of momenta arise from the requirement of covariance of the chosen gauge.

AB - We discuss a way to obtain the doubly special relativity kinematical rules (the deformed energy-momentum relation and the nonlinear Lorentz transformations of momenta) starting from a singular Lagrangian action of a particle with linearly realized SO(1,4) symmetry group. The deformed energy-momentum relation appears in a special gauge of the model. The nonlinear transformations of momenta arise from the requirement of covariance of the chosen gauge.

KW - Doubly special relativity models

KW - Nonlinear Lorentz transformations

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