Towards a Non-Perturbative Renormalization of Euclidean Quantum Gravity

Abstract

A real space renormalization group technique, based on the hierarchical baby-universe structure of a typical dynamically triangulated manifold, is used to study scaling properties of 2d and 4d lattice quantum gravity. In 4d, the $\beta$-function is defined and calculated numerically. An evidence for the existence of an ultraviolet stable fixed point of the theory is presented

12 pages Latex + 1 PS fig

References in corpus (5)

• Scaling in four dimensional quantum gravity
• Conformal Invariance and Renormalization Group in Quantum Gravity Near Two Dimensions
• Curvature and scaling in 4D dynamical triangulation
• Effective Sampling of Random Surfaces by Baby Universe Surgery
• Simplicial Quantum Gravity on a Computer

Cited by in corpus (12)

• Discrete approaches to quantum gravity in four dimensions
• Focusing on the Fixed Point of 4D Simplicial Gravity
• Two-loop Prediction for Scaling Exponents in (2 + ε)-dimensional Quantum Gravity
• A scenario for the c>1 barrier in non-critical bosonic strings
• A Real-Space Renormalization Group for Random Surfaces
• M.C.R.G. Study of Fixed-connectivity Surfaces
• Random Surfaces and Lattice Gravity
• Site Percolation on Planar ${\Phi }^3$ Random Graphs
• Phase diagram of Regge quantum gravity coupled to SU(2) gauge theory
• Gravity and Random Surfaces on the Lattice - A Review
• Renormalization of lattice-regularized quantum gravity models I. General considerations
• Random manifolds and quantum gravity