Reappraisal of a model for deformed special relativity. (11th May 2016)

• Record Type: Journal Article
• Authors: Gubitosi, Giulia; Magueijo, João
• Is Part Of: Classical and quantum gravity. Volume 33:Number 11(2016:Jun.)
• Publication Date: 2016-05-11
• Subjects: deformed special relativity -- Lorentz symmetry violations -- dimensional running -- vacuum fluctuations; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/0264-9381/33/11/115021
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: We revisit one of the earliest proposals for deformed dispersion relations in the light of recent results on dynamical dimensional reduction and production of cosmological fluctuations. Depending on the specification of the measure of integration and the addition rule in momentum space the model may be completed so as to merely deform Lorentz invariance, or so as to introduce a preferred frame. Models which violate Lorentz invariance have a negative UV asymptotic dimension and a very red spectrum of quantum vacuum fluctuations. Instead, models which preserve frame independence can exhibit running to a UV dimension of two, and a scale-invariant spectrum of fluctuations. The bispectrum of the fluctuations is another point of divergence between the two casings proposed here for the original model.