Authors: Kevin Falls
Publish Date: 2016/01/12
Volume: 2016, Issue: 1, Pages: 69-
Abstract
We study the nonperturbative renormalisation of quantum gravity in four dimensions Taking care to disentangle physical degrees of freedom we observe the topological nature of conformal fluctuations arising from the functional measure The resulting beta functions possess an asymptotically safe fixed point with a global phase structure leading to classical general relativity for positive negative or vanishing cosmological constant If only the conformal fluctuations are quantised we find an asymptotically safe fixed point predicting a vanishing cosmological constant on all scales At this fixed point we reproduce the critical exponent ν = 1/3 found in numerical lattice studies by Hamber Returning to the full theory we find that by setting the cosmological constant to zero the critical exponent agrees with the conformally reduced theory This suggests the fixed point may be physical while hinting at solution to the cosmological constant problemThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team
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