RG flows of Quantum Einstein Gravity in the linear-geometric approximation
arXiv:1412.7207
Abstract
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 -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.
32 pages, 4 figues
References in corpus (38)
- Quantum Gravity at a Lifshitz Point
- Ultraviolet properties of f(R)-Gravity
- On the renormalization group flow of f(R)-gravity
- Asymptotically Safe Lorentzian Gravity
- Further evidence for asymptotic safety of quantum gravity
- Taming perturbative divergences in asymptotically safe gravity
- Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety
- Global Flows in Quantum Gravity
- Ghost anomalous dimension in asymptotically safe quantum gravity
- Matter Induced Bimetric Actions for Gravity
- Background Independence and Asymptotic Safety in Conformally Reduced Gravity
- Ghost wave-function renormalization in Asymptotically Safe Quantum Gravity
- Consistent closure of renormalization group flow equations in quantum gravity
- The R^2 phase-diagram of QEG and its spectral dimension
- Second- and First-Order Phase Transitions in CDT
- Conformal sector of Quantum Einstein Gravity in the local potential approximation: non-Gaussian fixed point and a phase of unbroken diffeomorphism invariance
- Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
- On the number of relevant operators in asymptotically safe gravity
- Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity
- Conformally reduced quantum gravity revisited
- Fixed-Functionals of three-dimensional Quantum Einstein Gravity
- The role of Background Independence for Asymptotic Safety in Quantum Einstein Gravity
- Running boundary actions, Asymptotic Safety, and black hole thermodynamics
- On the physical mechanism underlying Asymptotic Safety
- Renormalization group flow of Hořava-Lifshitz gravity at low energies
- Asymptotic safety goes on shell
- The Conformal Constraint in Canonical Quantum Gravity
- The phase diagram of quantum gravity from diffeomorphism-invariant RG-flows
- Higher Derivative Gravity from the Universal Renormalization Group Machine
- Infrared fixed point in quantum Einstein gravity
- Universality and symmetry breaking in conformally reduced quantum gravity
- Living with Infinities
- A bootstrap strategy for asymptotic safety
- Fixed Functionals in Asymptotically Safe Gravity
- Fixed points and infrared completion of quantum gravity
- Redundant operators in the exact renormalisation group and in the f(R) approximation to asymptotic safety
- Renormalization of lattice-regularized quantum gravity models I. General considerations
- The local potential approximation in the background field formalism