Determinant representation for a quantum correlation function of the lattice sine-Gordon model

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dc.creatorEssler, Fabian H. L.
dc.creatorFrahm, Holger
dc.creatorIts, Alexander R.
dc.creatorKorepin, Vladimir E.
dc.date1995-12-13
dc.date1996-08-08
dc.date.accessioned2026-07-07T10:58:39Z
dc.date.available2026-07-07T10:58:39Z
dc.descriptionWe consider a completely integrable lattice regularization of the sine-Gordon model with discrete space and continuous time. We derive a determinant representation for a correlation function which in the continuum limit turns into the correlation function of local fields. The determinant is then embedded into a system of integrable integro-differential equations. The leading asymptotic behaviour of the correlation function is described in terms of the solution of a Riemann Hilbert Problem (RHP) related to the system of integro-differential equations. The leading term in the asymptotical decomposition of the solution of the RHP is obtained.
dc.description30 pages Latex2e, 2 Figures, epsf. Significantly extended and revised version
dc.identifierhttps://arxiv.org/abs/hep-th/9512090
dc.identifierhttp://arxiv.org/abs/hep-th/9512090
dc.identifierJ.Phys.A30:219-244,1997
dc.identifierdoi:10.1088/0305-4470/30/1/016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187179
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.titleDeterminant representation for a quantum correlation function of the lattice sine-Gordon model
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