Vectorlike deformations of relativistic quantum phase-space and relativistic kinematics (CROSBI ID 245212)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Loret, Niccoló ; Meljanac, Stjepan ; Mercati, Flavio ; Pikutić, Danijel
engleski
Vectorlike deformations of relativistic quantum phase-space and relativistic kinematics
We study a family of noncommutative spacetimes constructed by one four-vector. The large set of coordinate commutation relations described in this way includes many cases that are widely studied in the literature. The Hopf-algebra symmetries of these noncommutative spacetimes, as well as the structures of star product and twist are introduced and considered at first order in the deformation, described by four parameters. We also study the deformations to relativistic kinematics implied by this framework, and calculate the most general expression for the momentum dependence of the Lorentz transformations on momenta, which is an effect that is required by consistency. At the end of the paper we analyse the phenomenological consequences of this large family of vectorlike deformations on particles propagation in spacetime. This leads to a set of characteristic phenomenological effects.
kappa-Poincare ; kappa-Minkowski ; relative locality ; Planck scale ; doubly special relativity
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Podaci o izdanju
26 (11)
2017.
1750123
18
objavljeno
0218-2718
1793-6594
10.1142/s0218271817501231