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

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Bianco,  Stefano
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1910.01673.pdf
(Preprint), 657KB

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Citation

Amelino-Camelia, G., Bianco, S., & Rosati, G. (in preparation). Planck-scale-deformed relativistic symmetries and diffeomorphisms on momentum space.


Cite as: http://hdl.handle.net/21.11116/0000-0004-CDFC-A
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.