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Dilaton Quantum Gravity
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Dilaton Quantum Gravity
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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.
Forward citations
Cited by 2 Pith papers
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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity
Scaling solutions of a gauge-invariant functional flow equation support the dilaton quantum gravity fixed point, with Planck mass ~ φ² at large field and a stable negative kinetial in the infrared.
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Fermi scale from quantum gravity scaling solution
The Fermi/Planck ratio is claimed to be predictable from the analyticity of the quantum-gravity scaling solution for the cosmon-Higgs coupling, with numerics showing the coupling flows to a tiny, near-critical value.
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