Parametric holomorphy? Triviality versus Duality in Sinh-Gordon

dc.creatorNiedermaier, M.
dc.date1999-09-23
dc.date1999-11-01
dc.date.accessioned2026-07-07T04:27:05Z
dc.date.available2026-07-07T04:27:05Z
dc.descriptionSuppose a regularised functional integral depends holomorphically on a parameter that receives only a finite renormalization. Can one expect the correlation functions to retain the analyticity in the parameter after removal of the cutoff(s)? We examine the issue in the Sinh-Gordon theory by computing the intrinsic 4-point coupling as a function of the Lagrangian coupling β. Drawing on the conjectured triviality of the model in its functional integral formulation for β^2 > 8π, and the weak-strong coupling duality in the bootstrap formulation on the other hand, we conclude that the operations: ``Removal of the cutoff(s)'' and ``analytic continuation in β'' do not commute.
dc.description9 pages, Latex, 2 Figures; typos corrected, small B slope computed analytically
dc.identifierhttps://arxiv.org/abs/hep-th/9909170
dc.identifierhttp://arxiv.org/abs/hep-th/9909170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56289
dc.subjectHigh Energy Physics - Theory
dc.titleParametric holomorphy? Triviality versus Duality in Sinh-Gordon
dc.typetext

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