On the UV structure of quantum unimodular gravity

Abstract

It is a well known result that any formulation of unimodular gravity is classically equivalent to General Relativity (GR), however a debate exists in the literature about this equivalence at the quantum level. In this work, we investigate the UV quantum structure of a diffeomorphism invariant formulation of unimodular gravity using functional renormalisation group methods in a Wilsonian context. We show that the effective action of the unimodular theory acquires essentially the same form with that of GR in the UV, as well as that both theories share similar UV completions within the framework of the asymptotic safety scenario for quantum gravity. Furthermore, we find that in this context the unimodular theory can appear to be non--predictive due to an increasing number of relevant couplings at high energies, and explain how this unwanted feature is in the end avoided.

11 pages plus Appendix; Some clarifying comments added, results unchanged; Version to appear in Physical Review D

References in corpus (14)

• Exact evolution equation for the effective potential
• Asymptotic safety in higher-derivative gravity
• Ultraviolet properties of f(R)-Gravity
• On the renormalization group flow of f(R)-gravity
• Asymptotically Safe Lorentzian Gravity
• Taming perturbative divergences in asymptotically safe gravity
• Asymptotic safety in the f(R) approximation
• En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions
• The local potential approximation in quantum gravity
• Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity
• Asymptotically Safe Cosmology
• Conformal and non Conformal Dilaton Gravity
• A manifestly gauge invariant exact renormalization group
• Fixed Functionals in Asymptotically Safe Gravity

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