Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 8 (2012), 098, 73 pages      arXiv:1210.1485      https://doi.org/10.3842/SIGMA.2012.098
Contribution to the Special Issue “Loop Quantum Gravity and Cosmology”

Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics

Florian Girelli a, b, Franz Hinterleitner c and Seth A. Major d
a) Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada
b) University Erlangen-Nuremberg, Institute for Theoretical Physics III, Erlangen, Germany
c) Department of Theoretical Physics and Astrophysics, Faculty of Science of the Masaryk University, Kotlářská 2, 61137 Brno, Czech Republic
d) Department of Physics, Hamilton College, Clinton NY 13323, USA

Received May 30, 2012, in final form December 03, 2012; Published online December 13, 2012

Abstract
Research during the last decade demonstrates that effects originating on the Planck scale are currently being tested in multiple observational contexts. In this review we discuss quantum gravity phenomenological models and their possible links to loop quantum gravity. Particle frameworks, including kinematic models, broken and deformed Poincaré symmetry, non-commutative geometry, relative locality and generalized uncertainty principle, and field theory frameworks, including Lorentz violating operators in effective field theory and non-commutative field theory, are discussed. The arguments relating loop quantum gravity to models with modified dispersion relations are reviewed, as well as, arguments supporting the preservation of local Lorentz invariance. The phenomenology related to loop quantum cosmology is briefly reviewed, with a focus on possible effects that might be tested in the near future. As the discussion makes clear, there remains much interesting work to do in establishing the connection between the fundamental theory of loop quantum gravity and these specific phenomenological models, in determining observational consequences of the characteristic aspects of loop quantum gravity, and in further refining current observations. Open problems related to these developments are highlighted.

Key words: quantum gravity; loop quantum gravity; quantum gravity phenomenology; modified dispersion relation.

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