Constraints on the quantum gravity scale from kappa - Minkowski spacetime

Details Constraints on the quantum gravity scale from kappa - Minkowski spacetime Constraints on the quantum gravity scale from kappa - Minkowski spacetime

2009-12-17

arxiv.org/abs/0912.3299v3

Europhys.Lett.92:20006,2010

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, final published version, revised abstract, introduction and conclusion, to make it clear to general reader

Scientific paper

10.1209/0295-5075/92/20006

We compare two versions of deformed dispersion relations (energy vs momenta and momenta vs energy) and the corresponding time delay up to the second order accuracy in the quantum gravity scale (deformation parameter). A general framework describing modified dispersion relations and time delay with respect to different noncommutative kappa -Minkowski spacetime realizations is firstly proposed here and it covers all the cases introduced in the literature. It is shown that some of the realizations provide certain bounds on quadratic corrections, i.e. on quantum gravity scale, but it is not excluded in our framework that quantum gravity scale is the Planck scale. We also show how the coefficients in the dispersion relations can be obtained through a multiparameter fit of the gamma ray burst (GRB) data.

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