Renormalisation group and the Planck scale

Abstract

I discuss the renormalisation group approach to gravity, its link to Steven Weinberg's asymptotic safety scenario, and give an overview of results with applications to particle physics and cosmology.

14 pages, 6 figures, to appear in the Philosophical Transactions A of the Royal Society, London

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Cited by in corpus (131)

• Matter matters in asymptotically safe quantum gravity
• Asymptotic safety guaranteed
• Further evidence for asymptotic safety of quantum gravity
• Higgs inflation
• Asymptotic safety of gravity-matter systems
• The Gravitational Two-Loop Counterterm is Asymptotically Safe
• Towards apparent convergence in asymptotically safe quantum gravity
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• One force to rule them all: asymptotic safety of gravity with matter
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• Asymptotic safety in an interacting system of gravity and scalar matter
• Quantum gravity and Standard-Model-like fermions
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• How perturbative is quantum gravity?
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• Functional Renormalisation Group analysis of Tensorial Group Field Theories on ${\mathbb{R}}^d$
• Scaling solutions for Dilaton Quantum Gravity
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• Quantum gravity and gravitational-wave astronomy
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• On avoiding Ostrogradski instabilities within Asymptotic Safety
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• Fixed point structure of the conformal factor field in quantum gravity
• More asymptotic safety guaranteed
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• Bouncing and emergent cosmologies from ADM RG flows
• Constraining the Asymptotically Safe Cosmology: cosmic acceleration without dark energy
• Price of Asymptotic Safety
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• Quantum Equivalence of $f(R)$ Gravity and Scalar-tensor Theories in the Jordan and Einstein Frames
• Background Scale Independence in Quantum Gravity
• Asymptotically Safe Gravity with Fermions
• Fixed points and the spontaneous breaking of scale invariance
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• Quantum Gravity signatures in the Unruh effect
• Fixed Points of Quantum Gravity and the Dimensionality of the UV Critical Surface
• Asymptotic safety of scalar field theories
• On the Interpretation of Gravitational Corrections to Gauge Couplings
• Inflation from Asymptotically Safe Theories
• Flavor anomalies from asymptotically safe gravity
• The phase structure of Causal Dynamical Triangulations with toroidal spatial topology
• Spacetime condensation in (2+1)-dimensional CDT from a Horava-Lifshitz minisuperspace model
• Quantum Critical Behaviour of Semi-Simple Gauge Theories
• Brans-Dicke theory in the local potential approximation
• Cosmological constant problem: deflation during inflation
• Is scale-invariance in gauge-Yukawa systems compatible with the graviton?
• Multifractional spacetimes, asymptotic safety and Hořava-Lifshitz gravity
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• The fate of non-polynomial interactions in scalar field theory
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