Relative-locality geometry for the Snyder model
High Energy Physics - Theory
2019-01-23 v1
Abstract
We investigate the geometry of the energy-momentum space of the Snyder model of noncommmutative geometry and of its generalizations, according to the postulates of relative locality. These relate the geometric structures to the deformed composition law of momenta. It turns out that the Snyder energy-momentum spaces are maximally symmetric, with vanishing torsion and nonmetricity. However, one cannot apply straightforwardly the phenomenological relations between the geometry and the dynamics postulated in the standard prescription of relative locality, because they were obtained assuming that the leading corrections to the composition law of momenta are quadratic, which is not the case with the Snyder model and its generalizations
Cite
@article{arxiv.1711.07438,
title = {Relative-locality geometry for the Snyder model},
author = {B. Ivetic and S. Mignemi},
journal= {arXiv preprint arXiv:1711.07438},
year = {2019}
}
Comments
13 pages