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Open AccessArticle

On the Structure of the Vacuum in Quantum Gravity: A View from the Asymptotic Safety Scenario

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Istituto Nazionale di Astrofisica, Osservatorio Astrofisico di Catania, via S.Sofia 78, I-9 5123 Catania, Italy
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Istituto Nazionale di Fisica Nucleare, Sezione di Catania, via S. Sofia 64, I-95123 Catania, Italy
Universe 2019, 5(8), 182; https://doi.org/10.3390/universe5080182
Received: 28 May 2019 / Revised: 26 July 2019 / Accepted: 2 August 2019 / Published: 3 August 2019
Although the Asymptotic Safety scenario is one of the most promising approaches to quantum gravity, little attention has been devoted to the issue of the vacuum state. Higher derivative operators often appear on the ultraviolet critical surface around the non-Gaussian fixed point generating additional degrees of freedom which can render the standard vacuum unstable. When this happens, translation and rotational symmetries can be spontaneously broken and a new set of symmetries can show up at the level of the effective action. In this work, it will be argued that a “kinetic condensate” characterizes the vacuum state of asymptotically safe quadratic gravity theories. If this scenario is realized in the full theory, the vacuum state of gravity is the gravitational analogous to the Savvidy vacuum in Quantum Chromo-Dynamics (QCD). View Full-Text
Keywords: asymptotic safety; Euclidean quantum gravity; non-perturbative methods; black-holes asymptotic safety; Euclidean quantum gravity; non-perturbative methods; black-holes
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Bonanno, A. On the Structure of the Vacuum in Quantum Gravity: A View from the Asymptotic Safety Scenario. Universe 2019, 5, 182.

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