Testing Lattice Quantum Gravity in 2+1 Dimensions

Abstract

Borrowing techniques from cosmology, I compute the power spectrum of quantum fluctuations in (2+1)-dimensional causal dynamical triangulations, a promising discrete path integral approach to quantum gravity. The results agree with those of canonical quantization to a high degree of precision, providing strong evidence for the equivalence of the two approaches and for the validity of the discrete method.

13 pages, 11 figures

References in corpus (1)

• The Nonperturbative Quantum de Sitter Universe

Cited by in corpus (3)

• A Validation of Causal Dynamical Triangulations
• A first look at transition amplitudes in (2+1)-dimensional causal dynamical triangulations
• Spontaneous Dimensional Reduction?