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From the Fermi Scale to Cosmology

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Front. Astron. Space Sci. | doi: 10.3389/fspas.2018.00047

An asymptotically safe guide to quantum gravity and matter

  • 1Universität Heidelberg, Germany

Asymptotic safety generalizes asymptotic freedom and could contribute to understanding physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet extension for the effective quantum field theory of gravity through an interacting fixed point of the Renormalization Group. Recently, asymptotic safety has been established in specific gauge-Yukawa models in four dimensions in perturbation theory, providing a starting point for asymptotically safe model building. Moreover, an asymptotically safe fixed point might even be induced in the Standard Model under the impact of quantum fluctuations of gravity in the vicinity of the Planck scale. This review contains an overview of the key concepts of asymptotic safety, its application to matter and gravity models, exploring potential phenomenological implications and highlighting open questions.

Keywords: Quantum Gravity, Beyond Standard Model, Renormalization Group, asymptotic safety, gauge theories

Received: 17 Oct 2018; Accepted: 06 Dec 2018.

Edited by:

Francesco Sannino, Centre for Cosmology and Particle Physics Phenomenology, Faculty of Science, University of Southern Denmark, Denmark

Reviewed by:

Borut Bajc, Jožef Stefan Institute (IJS), Slovenia
Roberto Percacci, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Italy  

Copyright: © 2018 Eichhorn. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Dr. Astrid Eichhorn, Universität Heidelberg, Heidelberg, Germany, Eichhorn@thphys.uni-heidelberg.de