2+1 Dimensional Quantum Gravity as a Gaussian Fermionic System and the 3D-Ising Model

Details 2+1 Dimensional Quantum Gravity as a Gaussian Fermionic System and the 3D-Ising Model 2+1 Dimensional Quantum Gravity as a Gaussian Fermionic System and the 3D-Ising Model

1992-04-04

arxiv.org/abs/hep-th/9204009v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

We show that 2+1-dimensional Euclidean quantum gravity is equivalent, under some mild topological assumptions, to a Gaussian fermionic system. In particular, for manifolds topologically equivalent to $\Sigma_g\times\RrR$ with $\Sigma_g$ a closed and oriented Riemann surface of genus $g$, the corresponding 2+1-dimensional Euclidean quantum gravity may be related to the 3D-lattice Ising model before its thermodynamic limit.

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