Beyond Special Relativity at second order

Abstract

The study of generic, non-linear, deformations of Special Relativity parametrized by a high-energy scale $M$, which was carried out at first order in $M$ in Phys.Rev. D86, 084032 (2012), is extended to second order. This can be done systematically through a ('generalized') change of variables from momentum variables that transform linearly. We discuss the different perspectives on the meaning of the change of variables, obtain the coefficients of modified composition laws and Lorentz transformations at second order, and work out how $\kappa$-Poincaré, the most commonly used example in the literature, is reproduced as a particular case of the generic framework exposed here.

19 pages

References in corpus (4)

• Search for Lorentz Invariance breaking with a likelihood fit of the PKS 2155-304 flare data taken on MJD 53944
• Searching for Traces of Planck-Scale Physics with High Energy Neutrinos
• Relativistic kinematics beyond Special Relativity
• Non-universal relativistic kinematics

Cited by in corpus (3)

• Noncommutative Spaces and Poincaré Symmetry
• Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space
• Bounds on Relativistic Deformed Kinematics from the Physics of the Universe Transparency