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.

Generalized relativistic kinematics in Poincaré-invariant models

MIGNEMI, SALVATORE
;
2016

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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/184143
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