Status of the Asymptotic Safety Paradigm for Quantum Gravity and Matter

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 obtaine...

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Bibliographic Details
Published in:Foundations of physics 2018-10, Vol.48 (10), p.1407-1429
Main Author: Eichhorn, Astrid
Format: Article
Language:English
Subjects:
Asymptotic properties
Black holes
Classical and Quantum Gravitation
Classical Mechanics
Field theory
Fixed points (mathematics)
Gravitational waves and Space Time Singularities
Gravity
History and Philosophical Foundations of Physics
Particle physics
Philosophy of Science
Physics
Physics and Astronomy
Quantum field theory
Quantum gravity
Quantum phenomena
Quantum Physics
Quantum theory
Relativity Theory
Safety
Scale invariance
Standard model (particle physics)
Statistical Physics and Dynamical Systems
Viability
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Description
Summary: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.
ISSN:0015-9018
1572-9516
DOI:10.1007/s10701-018-0196-6