Scale Dependent Metric and Minimal Length in QEG
arXiv:hep-th/0610064 · doi:10.1088/1751-8113/40/25/S04
Abstract
The possibility of a minimal physical length in quantum gravity is discussed within the asymptotic safety approach. Using a specific mathematical model for length measurements ("COM microscope") it is shown that the spacetimes of Quantum Einstein Gravity (QEG) based upon a special class of renormalization group trajectories are "fuzzy" in the sense that there is a minimal coordinate separation below which two points cannot be resolved.
10 pages, 1 figure, Talk given by M.R. at IRGAC 2006, Barcelona, Spain, July 11-15, 2006
References in corpus (51)
- Exact evolution equation for the effective potential
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- Quantum gravity and minimum length
- Nonperturbative Evolution Equation for Quantum Gravity
- Renormalization group improved black hole spacetimes
- Spectral Dimension of the Universe
- Fixed points of quantum gravity
- Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
- Emergence of a 4D World from Causal Quantum Gravity
- Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
- Reconstructing the Universe
- Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
- Galaxy Rotation Curves Without Non-Baryonic Dark Matter
- Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
- Fractal Spacetime Structure in Asymptotically Safe Gravity
- Cosmology of the Planck Era from a Renormalization Group for Quantum Gravity
- The Running Gravitational Couplings
- Spacetime Structure of an Evaporating Black Hole in Quantum Gravity
- Asymptotic Safety of Gravity Coupled to Matter
- Is Quantum Einstein Gravity Nonperturbatively Renormalizable?
- Cosmology with Self-Adjusting Vacuum Energy Density from a Renormalization Group Fixed Point
- Contraints on Matter from Asymptotic Safety
- Renormalization group improved gravitational actions: a Brans-Dicke approach
- The Universe from Scratch
- Running Newton Constant, Improved Gravitational Actions, and Galaxy Rotation Curves
- Quantum Gravity at Astrophysical Distances?
- Galaxy Cluster Masses Without Non-Baryonic Dark Matter
- Gravitational Theory, Galaxy Rotation Curves and Cosmology without Dark Matter
- Proper Time Flow Equation for Gravity
- Quantum Gravity effects near the null black hole singularity
- Semiclassical Universe from First Principles
- From Big Bang to Asymptotic de Sitter: Complete Cosmologies in a Quantum Gravity Framework
- A class of nonlocal truncations in Quantum Einstein Gravity and its renormalization group behavior
- Flow Equations for Yang-Mills Theories in General Axial Gauges
- Confronting the IR Fixed Point Cosmology with High Redshift Observations
- Towards Nonperturbative Renormalizability of Quantum Einstein Gravity
- Effective average action in statistical physics and quantum field theory
- Cosmological Perturbations in Renormalization Group Derived Cosmologies
- Dimensionally reduced gravity theories are asymptotically safe
- A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity
- Gauge Dependence of the Effective Average Action in Einstein Gravity
- On the Ultraviolet Behaviour of Newton's constant
- Renormalization and asymptotic safety in truncated quantum Einstein gravity
- Nonlocal Quantum Gravity and the Size of the Universe
- Arnowitt-Deser-Misner gravity with variable G and Lambda and fixed point cosmologies from the renormalization group
- Renormalization of the Topological Charge in Yang-Mills Theory
- Effective Average Action of Chern-Simons Field Theory
- Fractal Geometry of Quantum Spacetime at Large Scales
- A Class of Renormalization Group Invariant Scalar Field Cosmologies
- Average Effective Potential for the Conformal Factor
- The Accelerated expansion of the Universe as a crossover phenomenon