Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-10
Phys. Rev. D75 (2007) 065014
Physics
High Energy Physics
High Energy Physics - Theory
22 pages
Scientific paper
10.1103/PhysRevD.75.065014
We work on some general extensions of the formalism for theories which preserve the relativity of inertial frames with a nonlinear action of the Lorentz transformations on momentum space. Relativistic particle models invariant under the corresponding deformed symmetries are presented with particular emphasis on deformed dilatation transformations. The algebraic transformations relating the deformed symmetries with the usual (undeformed) ones are provided in order to preserve the Lorentz algebra. Two distinct cases are considered: a deformed dilatation transformation with a spacelike preferred direction and a very special relativity embedding with a lightlike preferred direction. In both analysis we consider the possibility of introducing quantum deformations of the corresponding symmetries such that the spacetime coordinates can be reconstructed and the particular form of the real space-momentum commutator remains covariant. Eventually feasible experiments, for which Lorentz violating effects here pointed out may be detectable, are suggested.
Bernardini Alex E.
Rocha Roldao da
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