Fixed points of quantum gravity in extra dimensions

Abstract

We study quantum gravity in more than four dimensions with renormalisation group methods. We find a non-trivial ultraviolet fixed point in the Einstein-Hilbert action. The fixed point connects with the perturbative infrared domain through finite renormalisation group trajectories. We show that our results for fixed points and related scaling exponents are stable. If this picture persists at higher order, quantum gravity in the metric field is asymptotically safe. We discuss signatures of the gravitational fixed point in models with low-scale gravity and compact extra dimensions.

Wording sharpened, refs added, to appear in PLB

References in corpus (15)

• Spectral Dimension of the Universe
• Fixed points of quantum gravity
• Emergence of a 4D World from Causal Quantum Gravity
• Infrared behaviour and fixed points in Landau gauge QCD
• Asymptotic Safety of Gravity Coupled to Matter
• Contraints on Matter from Asymptotic Safety
• Proper Time Flow Equation for Gravity
• Renormalizability of gauge theories in extra dimensions
• Dimensionally reduced gravity theories are asymptotically safe
• Renormalizable extra-dimensional models
• Renormalization and asymptotic safety in truncated quantum Einstein gravity
• Universality and the Renormalisation Group
• The Price of an Exact, Gauge-Invariant RG-Flow Equation
• Non-Perturbative Gravity and the Spin of the Lattice Graviton
• Ultraviolet Fixed Points in Gauge and SUSY Field Theories in Extra Dimensions

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