Asymptotic Safety, Emergence and Minimal Length

Abstract

There seems to be a common prejudice that asymptotic safety is either incompatible with, or at best unrelated to, the other topics in the title. This is not the case. In fact, we show that 1) the existence of a fixed point with suitable properties is a promising way of deriving emergent properties of gravity, and 2) there is a sense in which asymptotic safety implies a minimal length. In so doing we also discuss possible signatures of asymptotic safety in scattering experiments.

LaTEX, 20 pages, 2 figures; v.2: minor changes, reflecting published version

References in corpus (49)

• Thermodynamics of Spacetime: The Einstein Equation of State
• Exact evolution equation for the effective potential
• The quantum structure of spacetime at the Planck scale and quantum fields
• Nonperturbative Evolution Equation for Quantum Gravity
• Analogue Gravity
• Optimised Renormalisation Group Flows
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Fixed points of quantum gravity
• Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
• Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
• Reconstructing the Universe
• Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
• Asymptotic safety in higher-derivative gravity
• Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
• Fixed Points of Higher Derivative Gravity
• Derivative Expansion of the Exact Renormalization Group
• Ultraviolet properties of f(R)-Gravity
• The Asymptotic Safety Scenario in Quantum Gravity -- An Introduction
• The Running Gravitational Couplings
• On the renormalization group flow of f(R)-gravity
• Asymptotic Safety of Gravity Coupled to Matter
• Is Quantum Einstein Gravity Nonperturbatively Renormalizable?
• Contraints on Matter from Asymptotic Safety
• Taming perturbative divergences in asymptotically safe gravity
• Fixed points of quantum gravity in extra dimensions
• Renormalization Group Flow in Scalar-Tensor Theories. I
• Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety
• Quantum Gravity at Astrophysical Distances?
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Gravitational corrections to Yukawa systems
• The gravitational S-matrix
• Running Gauge Coupling in Asymptotically Safe Quantum Gravity
• Entropy signature of the running cosmological constant
• Quantum Gravity on the Lattice
• Towards Nonperturbative Renormalizability of Quantum Einstein Gravity
• Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
• Conformal sector of Quantum Einstein Gravity in the local potential approximation: non-Gaussian fixed point and a phase of unbroken diffeomorphism invariance
• Conformally reduced quantum gravity revisited
• A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity
• Fixed Points of Nonlinear Sigma Models in d>2
• Renormalization Group Flow in Scalar-Tensor Theories. II
• Further Evidence for a Gravitational Fixed Point
• On the Ultraviolet Behaviour of Newton's constant
• One loop beta functions and fixed points in Higher Derivative Sigma Models
• Effective Potential of the Conformal Factor: Gravitational Average Action and Dynamical Triangulations
• Modified Dispersion Relations from the Renormalization Group of Gravity
• The Renormalization Group, Systems of Units and the Hierarchy Problem
• The beta functions of a scalar theory coupled to gravity

Cited by in corpus (33)

• Minimal Length Scale Scenarios for Quantum Gravity
• Quantum Spacetime Phenomenology
• The nonperturbative functional renormalization group and its applications
• Renormalisation group and the Planck scale
• Viability of quantum-gravity induced ultraviolet completions for matter
• Black hole thermodynamics under the microscope
• Emergent Models for Gravity: an Overview of Microscopic Models
• Lattice Quantum Gravity and Asymptotic Safety
• Constraining power of asymptotic safety for scalar fields
• Unimodular quantum gravity and the cosmological constant
• Consistency of matter models with asymptotically safe quantum gravity
• The path integral of unimodular gravity
• Towards phase transitions between discrete and continuum quantum spacetime from the Renormalization Group
• Light charged fermions in quantum gravity
• Exploring Euclidean Dynamical Triangulations with a Non-trivial Measure Term
• Evidence for Asymptotic Safety from Dimensional Reduction in Causal Dynamical Triangulations
• Electroweak Theory with a Minimal Length
• Entropic force approach to noncommutative Schwarzschild black holes signals a failure of current physical ideas
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• The Soccer-Ball Problem
• Split Weyl transformations in quantum gravity
• Towards coarse graining of discrete Lorentzian quantum gravity
• Can we see quantum gravity? Photons in the asymptotic-safety scenario
• Entropic force approach in a noncommutative charged black hole and the equivalence principle
• On classicalization in nonlinear sigma models
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Effective models of quantum gravity induced by Planck scale modifications in the covariant quantum algebra
• Lectures in Quantum Gravity
• Thermodynamical features of Verlinde's approach for a non-commutative Schwarzschild-anti-deSitter black hole in a broad range of scales
• Quantum Gravity Corrections to the Mean Field Theory of Nucleons
• Doubly Quantum Mechanics
• Compactification, T-Duality and Quantum Erasers