Two-Dimensional Lattice Gravity as a Spin System

Details Two-Dimensional Lattice Gravity as a Spin System Two-Dimensional Lattice Gravity as a Spin System

1993-12-14

arxiv.org/abs/hep-lat/9312055v1

Int.J.Mod.Phys.C5:359-361,1994

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, uuencoded postscript file; Proceedings of the 2nd IMACS Conference on Computational Physics, St. Louis, Oct. 1993

Scientific paper

10.1142/S0129183194000490

Quantum gravity is studied in the path integral formulation applying the Regge calculus. Restricting the quadratic link lengths of the originally triangular lattice the path integral can be transformed to the partition function of a spin system with higher couplings on a Kagome lattice. Various measures acting as external field are considered. Extensions to matter fields and higher dimensions are discussed.

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