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Generalized relativistic kinematics in Poincaré-invariant models

B. Ivetić1,*, S. Mignemi2,3,†, and A. Samsarov1,‡

  • 1Rudjer Bošković Institute, Bijenička cesta 54, 10002 Zagreb, Croatia
  • 2Dipartimento di Matematica e Informatica, Università di Cagliari, viale Merello 92, 09123 Cagliari, Italy
  • 3INFN, Sezione di Cagliari, Cittadella Universitaria, 09042 Monserrato, Italy

  • *boris.ivetic@irb.hr
  • †smignemi@unica.it
  • ‡samsarov@unica.it
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Phys. Rev. D 94, 064064 – Published 22 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.064064

Abstract

Assuming the validity of the relativity principle, we discuss the implications on relativistic kinematics of a deformation of the Poincaré invariance that preserves the Poincaré algebra, and only modifies its action on spacetime in a Lorentz-invariant way. We show that, in contrast to the case in which the Poincaré algebra is deformed, the action of boosts on two-particle states is not affected, while the addition law of momenta is to a large extent arbitrary. We discuss some nontrivial examples of deformed addition laws related to the Snyder model.

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Phys. Rev. D 94, 064064– Published 22 September, 2016
  • Received 1 August 2016

© 2016 American Physical Society

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