A surface theoretic model of quantum gravity

Abstract

A surface theoretic view of non-perturbative quantum gravity as "spin-foams" was proposed by Baez. A possibility of constructing such a model was studied some time ago based on (2+1) dimensional general relativity as a reformulation of the Ponzano-Regge model in Riemannian spacetime. In the present work, a model based on (3+1) dimensional general relativity in Riemannian spacetime is presented. The construction is explicit and calculable in details. For a physical application, a computation formula for spacetime volume density correlations is presented. Remarks for further investigations are made.

Latex, 14 pages, No figure; Appendices added, References updated

References in corpus (4)

• Spin Foam Models
• Topological Lattice Models in Four Dimensions
• Worldsheet formulations of gauge theories and gravity
• A definition of the Ponzano-Regge quantum gravity model in terms of surfaces

Cited by in corpus (8)

• The Spin Foam Approach to Quantum Gravity
• Spin Foam Models for Quantum Gravity
• Spacetime as a Feynman diagram: the connection formulation
• A spin foam model without bubble divergences
• Statistical Lorentzian geometry and the closeness of Lorentzian manifolds
• The century of the incomplete revolution: searching for general relativistic quantum field theory
• An algebraic approach to coarse graining
• A lattice quantum gravity model with surface-like excitations in 4-dimensional spacetime