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

Amelino-Camelia, G., Bianco, S., & Rosati, G. (2020). Planck-scale-deformed relativistic symmetries and diffeomorphisms on momentum space. Physical Review D, 101(2): 026018. doi:10.1103/PhysRevD.101.026018.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0004-CDFC-A Version Permalink: http://hdl.handle.net/21.11116/0000-0005-A5ED-6
Genre: Journal Article

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 Creators:
Amelino-Camelia, Giovani, Author
Bianco, Stefano1, Author              
Rosati, Giacomo, Author
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1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 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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 Dates: 2019-10-032020
 Publication Status: Published in print
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 Identifiers: arXiv: 1910.01673
URI: http://arxiv.org/abs/1910.01673
DOI: 10.1103/PhysRevD.101.026018
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 101 (2) Sequence Number: 026018 Start / End Page: - Identifier: -