J. J. Relancio — Page 3

arXiv2017

Spacetime from locality of interactions in deformations of special relativity: the example of $κ$-Poincaré Hopf algebra

A new proposal for the notion of spacetime in a relativistic generalization of special relativity based on a modification of the composition law of momenta is presented. Locality of interactions is the principle which defines the spacetime structure for a system of particles. The formulation based on $κ$-Poincaré Hopf algebra is shown to be contained in this framework as a particular example.

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arXiv2016

Beyond Special Relativity at second order

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 $κ$-Poincaré, the most commonly used example in the literature, is reproduced as a particular case of the generic framework exposed here.

hep-th↗