Strong Coupling Quantum Gravity and Physics beyond the Planck Scale

Abstract

We propose a renormalization prescription for the Wheeler-DeWitt equation of (3+1)-dimensional Einstein gravity and also propose a strong coupling expansion as an approximation scheme to probe quantum geometry at length scales much smaller than the Planck length. We solve the Wheeler-DeWitt equation to the second order in the expansion in a class of local solutions and discuss problems arising in our approach.

27 pages, LaTeX file. To be published in Phys. Rev. D

References in corpus (10)

• The World as a Hologram
• Discreteness of area and volume in quantum gravity
• Quantum gravity and minimum length
• Weaving a classical geometry with quantum threads
• Nonperturbative Light-Front QCD
• Linking Topological Quantum Field Theory and Nonperturbative Quantum Gravity
• Continuum Strong Coupling Expansion of Yang-Mills Theory: Quark Confinement and Infra-Red Slavery
• Analysis of the Wheeler-DeWitt Equation beyond Planck Scale and Dimensional Reduction
• A Class of Exact Solutions of the Wheeler -- De Witt Equation
• Physics of the Very Early Universe

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• Weak Decay of Lambda Hypernuclei
• Must Quantum Spacetimes Be Euclidean?
• Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point
• The Consistency of Causal Quantum Geometrodynamics and Quantum Field Theory
• Volume average regularization for the Wheeler-DeWitt equation
• A Class of Exact Solutions of the Wheeler -- De Witt Equation
• Short Distance Properties from Large Distance Behaviour
• The Geometrical Origin of Dark Energy
• Yang-Mills beta-function from a large-distance expansion of the Schroedinger functional
• Solving the Functional Schroedinger Equation: Yang-Mills String Tension and Surface Critical Scaling