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Foundations of Physics

, Volume 48, Issue 10, pp 1407–1429 | Cite as

Status of the Asymptotic Safety Paradigm for Quantum Gravity and Matter

  • Astrid Eichhorn
Article
Part of the following topical collections:
  1. Black holes, Gravitational waves and Space Time Singularities

Abstract

In the asymptotic safety paradigm, a quantum field theory reaches a regime with quantum scale invariance in the ultraviolet, which is described by an interacting fixed point of the Renormalization Group. Compelling hints for the viability of asymptotic safety in quantum gravity exist, mainly obtained from applications of the functional Renormalization Group. The impact of asymptotically safe quantum fluctuations of gravity at and beyond the Planck scale could at the same time induce an ultraviolet completion for the Standard Model of particle physics with high predictive power.

Keywords

Quantum gravity Asymptotic safety Standard model 

Notes

Acknowledgements

I thank the organizers of the workshop on Black Holes, Gravitational Waves and Spacetime Singularities for the invitation to a particularly inspiring workshop. It is a pleasure to thank N. Christiansen, P. Donà, H. Gies, A. Held, P. Labus, S. Lippoldt, J. Pawlowski, R. Percacci, M. Reichert and F. Versteegen for enjoyable and fruitful collaborations on gravity-matter systems, some part of which is reflected in these notes. I am indebted to A. Held and F. Versteegen for help in making this summary (hopefully) more understandable. I acknowledge funding by the DFG within the Emmy–Noether-program under grant no. Ei-1037-1 and support by the Perimeter Institute for Theoretical Physics through the Emmy–Noether-visiting fellow program.

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute for Theoretical PhysicsUniversity of HeidelbergHeidelbergGermany

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