English

Dilaton Quantum Gravity

High Energy Physics - Theory 2015-06-15 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1304.7743,
  title  = {Dilaton Quantum Gravity},
  author = {Tobias Henz and Jan Martin Pawlowski and Andreas Rodigast and Christof Wetterich},
  journal= {arXiv preprint arXiv:1304.7743},
  year   = {2015}
}

Comments

6 pages, 2 figures, version to appear in PLB

R2 v1 2026-06-22T00:08:17.095Z