Nonperturbative Studies of Quantum Gravity
Wolfgang Beirl, Harald Markum, Juergen Riedler
TL;DR
This paper explores quantum gravity using Regge calculus, transforming the path integral into a spin system on a Kagome lattice, and discusses extensions to matter fields and higher dimensions.
Contribution
It introduces a novel approach to quantum gravity by mapping the path integral to a spin system with higher couplings on a Kagome lattice.
Findings
Path integral reformulated as a spin system
Analysis of different measures acting as external fields
Discussion on extensions to matter fields and higher dimensions
Abstract
We investigate quantum gravity in the path integral formulation using 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 were considered. Extensions to matter fields and higher dimensions are discussed.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Cold Atom Physics and Bose-Einstein Condensates · Quantum many-body systems