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

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

1995-12-13

arxiv.org/abs/hep-th/9512090v2

J.Phys.A30:219-244,1997

Physics

High Energy Physics

High Energy Physics - Theory

30 pages Latex2e, 2 Figures, epsf. Significantly extended and revised version

Scientific paper

10.1088/0305-4470/30/1/016

We 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.

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