TWO-DIMENSIONAL LATTICE GRAVITY AS A SPIN SYSTEM

W. Beirl, H. Markum and J. Riedler
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W. Beirl: Institut für Kernphysik, Technische Universität Wien, A-1040 Vienna, Austria
H. Markum: Institut für Kernphysik, Technische Universität Wien, A-1040 Vienna, Austria
J. Riedler: Institut für Kernphysik, Technische Universität Wien, A-1040 Vienna, Austria

International Journal of Modern Physics C (IJMPC), 1994, vol. 05, issue 02, 359-361

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 Kagomé lattice. Various measures acting as external field are considered. Extensions to matter fields and higher dimensions are discussed.

Date: 1994
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DOI: 10.1142/S0129183194000490

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