On the large N expansion in hyperbolic sigma-models

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dc.creatorNiedermaier, Max
dc.creatorSeiler, Erhard
dc.date2007-11-23
dc.date2008-06-27
dc.date.accessioned2026-07-07T11:54:21Z
dc.date.available2026-07-07T11:54:21Z
dc.descriptionInvariant correlation functions for ${\rm SO}(1,N)$ hyperbolic sigma-models are investigated. The existence of a large $N$ asymptotic expansion is proven on finite lattices of dimension $d \geq 2$. 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.
dc.description15 pages. Some changes in introduction and discussion; to appear in J. Math. Phys
dc.identifierhttps://arxiv.org/abs/0711.3756
dc.identifierhttp://arxiv.org/abs/0711.3756
dc.identifierJ.Math.Phys.49:073301,2008
dc.identifierdoi:10.1063/1.2951886
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204871
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.subject41A60; 82B80
dc.titleOn the large N expansion in hyperbolic sigma-models
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