On the Large N Expansion in Hyperbolic Sigma – Models
نویسندگان
چکیده
Invariant correlation functions for SO(1, N ) hyperbolic sigma-models are investigated. The existence of a large N asymptotic expansion is proven on finite lattices of dimension d ≥ 2. The unique saddle point configuration is characterized by a negative gap vanishing at least like 1/V with the volume. Technical difficulties compared to the compact case are bypassed using horospherical coordinates and the matrix-tree theorem. Mathematics Subject Classification (2000) 41A60, 82B80.
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