Is There Quantum Gravity in Two Dimensions?

Abstract

A hybrid model which allows to interpolate between the (original) Regge approach and dynamical triangulations is introduced. The gained flexibility in the measure is exploited to study dynamical triangulation in a fixed geometry. Our numerical results support KPZ exponents. A critical assessment concerning the apparent lack of gravitational effects in two dimensions follows.

20 pages including 4 figures, uuencoded Z-compressed .tar file created by uufiles

References in corpus (2)

• The critical behaviour of Ising spins on 2D Regge lattices
• Dynamically Triangulated Ising Spins in Flat Space

Cited by in corpus (8)

• On the Measure in Simplicial Gravity
• On the Gravitational Scaling Dimensions
• Gauge Invariance in Simplicial Gravity
• Scaling Exponents for Lattice Quantum Gravity in Four Dimensions
• Softening of First-Order Phase Transition on Quenched Random Gravity Graphs
• Measuring the string susceptibility in 2D simplicial quantum gravity using the Regge approach
• Gravity and Random Surfaces on the Lattice - A Review
• Feynman Rules for Simplicial Gravity