6533b837fe1ef96bd12a3387

RESEARCH PRODUCT

RG flows of Quantum Einstein Gravity in the linear-geometric approximation

Omar ZanussoFrank SaueressigMaximilian Demmel

subject

PhysicsHigh Energy Physics - Theory; High Energy Physics - Theory; General Relativity and Quantum CosmologyHigh Energy Physics - TheoryEntropic gravityGeneral relativityAsymptotic safety in quantum gravityGeneral Physics and AstronomyFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Euclidean quantum gravityGeneral Relativity and Quantum CosmologyGeneral Relativity and Quantum CosmologyClassical mechanicsHigh Energy Physics - Theory (hep-th)Linearized gravityTheoretical High Energy PhysicsComputingMethodologies_DOCUMENTANDTEXTPROCESSINGQuantum gravitySemiclassical gravityf(R) gravity

description

We construct a novel Wetterich-type functional renormalization group equation for gravity which encodes the gravitational degrees of freedom in terms of gauge-invariant fluctuation fields. Applying a linear-geometric approximation the structure of the new flow equation is considerably simpler than the standard Quantum Einstein Gravity construction since only transverse-traceless and trace part of the metric fluctuations propagate in loops. The geometric flow reproduces the phase-diagram of the Einstein-Hilbert truncation including the non-Gaussian fixed point essential for Asymptotic Safety. Extending the analysis to the polynomial $f(R)$-approximation establishes that this fixed point comes with similar properties as the one found in metric Quantum Einstein Gravity; in particular it possesses three UV-relevant directions and is stable with respect to deformations of the regulator functions by endomorphisms.

yearjournalcountryeditionlanguage
2014-12-22Annals of Physics
10.1016/j.aop.2015.04.018https://doi.org/10.1016/j.aop.2015.04.018