2+1 Dimensional Quantum Gravity as a Gaussian Fermionic System and the 3D-Ising Model
نویسندگان
چکیده
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 Σg × IR with Σg 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. PACS # 04.60 ; 05.50 ; 02.40.P ⋆ Permanent address: Dipartimento di Fisica, Universitá di Milano, I-20133 Milano, Italy
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تاریخ انتشار 1992