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Paper

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

##### Fulltext (public)

1910.01673.pdf

(Preprint), 657KB

##### Supplementary Material (public)

There is no public supplementary material available

##### 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.