Discrete structures in gravity

By T. Regge, Ruth M. Williams. 2000

198 citations recorded by the source corpus.

Discrete approaches to gravity, both classical and quantum, are reviewed briefly, with emphasis on the method using piecewise-linear spaces. Models of three-dimensional quantum gravity involving 6j-symbols are then described, and progress in generalizing these models to four dimensions is discussed, as is the relationship of these models in both three and four dimensions to topological theories. Finally, the repercussions of the generalizations are explored for the original formulation of discrete gravity using edge-length variables.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dca438ab8ad451232cf580f6408e781872b2c0a6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Phase space descriptions for simplicial 4D geometries (2008, background): “In many approaches to quantum gravity, such as loop quantum gravity (LQG) [2], quantum Regge calculus [3, 4] and causal dynamical triangulations [5], discrete models of spacetime appear in one form or another.”
Area–angle variables for general relativity (2008, methodology): “This approach has been applied with some success to classical gravity [2, 3], and used as a starting point for a lattice quantization of GR [2, 4–6].”