The Higgs mechanism in Finsler spacetimes

Abstract

Finsler geometry has been recently re-discovered as an interesting possibility to describe spacetime geometry beyond Riemannian geometry. The most evident effect of this class of models is the prediction of modified dispersion relations for particles moving in such backgrounds. In this paper, we are going to consider the effects of modified dispersion relations on a gauge field theory with spontaneous symmetry breaking (SSB) associated to a Higgs field. The percolation of higher dimensional, Lorentz violating operators to lower dimensional ones is discussed. We also discuss the issue of SSB in a mono-metric Finsler scenario like the one associated to the so-called very special relativity.

11 pages, revtex4

References in corpus (7)

• Very Special Relativity
• General Very Special Relativity is Finsler Geometry
• Planck-scale modified dispersion relations and Finsler geometry
• Classification of Dimension 5 Lorentz Violating Interactions in the Standard Model
• Analogue spacetime based on 2-component Bose-Einstein condensates
• Modified Dispersion Relations from the Renormalization Group of Gravity
• Some physical displays of the space anisotropy relevant to the feasibility of its being detected at a laboratory

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• Quantization of general linear electrodynamics
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• Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy
• A note on particle kinematics in Horava-Lifshitz scenarios
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• Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions
• A Novel Foamy Origin for Singlet Fermion Masses