Dilaton quantum gravity

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Abstract

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. © 2013 Elsevier B.V.

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Henz, T., Pawlowski, J. M., Rodigast, A., & Wetterich, C. (2013). Dilaton quantum gravity. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 727(1–3), 298–302. https://doi.org/10.1016/j.physletb.2013.10.015

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