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Two-Dimensional Lattice Gravity as a Spin System

1993/12/14 by Wolfgang Beirl, W. Beirl, H. Markum +1 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #hep-lat

paper · pdf · doi:10.1142/s0129183194000490

published as Int.J.Mod.Phys.C5:359-361,1994 · 3 pages, uuencoded postscript file; Proceedings of the 2nd IMACS Conference on Computational Physics, St. Louis, Oct. 1993

arxiv created 1993/12/14 · openalex publication_date 1994/04/01 · arxiv updated 2011/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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