Dilaton Quantum Gravity

We propose a simple fixed point scenario in the renormalization flow of a scalar dilaton coupled to gravity. This would render gravity non-perturbatively renormalizable and thus constitute a viable theory of quantum gravity. On the fixed point dilatation symmetry is exact and the quantum effective a...

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Bibliographic Details
Published inarXiv.org
Main Authors Henz, Tobias, Jan Martin Pawlowski, Rodigast, Andreas, Wetterich, Christof
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.10.2013
Subjects
Broken symmetry
Couplings
Dark energy
Dilatons
Fixed points (mathematics)
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Quantum gravity
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Summary:We propose a simple fixed point scenario in the renormalization flow of a scalar dilaton coupled to gravity. This would render gravity non-perturbatively renormalizable and thus constitute a viable theory of quantum gravity. On the fixed point dilatation symmetry is exact and the quantum effective action takes a very simple form. Realistic gravity with a nonzero Planck mass is obtained through a nonzero expectation value for the scalar field, constituting a spontaneous scale symmetry breaking. Furthermore, relevant couplings for the flow away from the fixed point can be associated with a 'dilatation anomaly' that is responsible for dynamical dark energy. For the proposed fixed point and flow away from it the cosmological 'constant' vanishes for asymptotic time.
ISSN:2331-8422
DOI:10.48550/arxiv.1304.7743