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arXiv · 1910.01673

Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space

Giovanni Amelino-Camelia·Stefano Bianco·Giacomo Rosati
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Abstract

We study the implications of a change of coordinatization of momentum space for theories with curved momentum space. We of course find that after a passive diffeomorphism the theory yields the same physical predictions, as one would expect considering that a simple reparametrization should not change physics. However, it appears that general momentum-space covariance (invariance under active diffeomorphisms of momentum space) cannot be enforced, and within a given set of prescriptions on how the theory should encode momentum-space metric and affine connection the physical predictions do depend on the momentum space background. These conclusions find support in some general arguments and in our quantitative analysis of a much-studied toy model with maximally-symmetric (curved) momentum space.

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Giovanni Amelino-Camelia, Stefano Bianco, Giacomo Rosati. 2019-10-03. Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space. https://doi.org/10.1103/physrevd.101.026018

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