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

Abstract

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.

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

References in corpus (3)

• Determinant Representations for Correlation Functions of Spin-1/2 XXX and XXZ Heisenberg Magnets
• Differential Equations for Sine-Gordon Correlation Functions at the Free Fermion Point
• Integro-Difference Equation for a correlation function of the spin-$\frac{1}{2}$ Heisenberg XXZ chain

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