The determinant representation for quantum correlation functions of the sinh-Gordon model

Abstract

We consider the quantum sinh-Gordon model in this paper. Using known formulae for form factors we sum up all their contributions and obtain a closed expression for a correlation function. This expression is a determinant of an integral operator. Similar determinant representations were proven to be useful not only in the theory of correlation functions, but also in the matrix models.

21 pages, Latex, no figures

References in corpus (4)

• Form-factors of exponential fields in the affine A^{(1)}_{N-1} Toda model
• Errata for: Differential Equations for Sine-Gordon Correlation Functions at the Free Fermion Point
• Time and Temperature Dependent Correlation Functions of 1D Models of Quantum Statistical Mechanics
• The Determinant Representation for a Correlation Function in Scaling Lee-Yang Model

Cited by in corpus (14)

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• Exact form factors in integrable quantum field theories: the sine-Gordon model (II)
• Form factor expansion for thermal correlators
• Form Factors of the Homogeneous Sine-Gordon models
• The Form Factor Program: a Review and New Results - the Nested SU(N) Off-Shell Bethe Ansatz
• Finite temperature correlation function for one-dimensional Quantum Ising model: the virial expansion
• Exact Matrix Elements in Supersymmetric Theories
• Varying the Unruh Temperature in Integrable Quantum Field Theories
• The Determinant Representation for a Correlation Function in Scaling Lee-Yang Model
• The Form Factors in the Sinh-Gordon Model
• Two-point correlation functions in perturbed minimal models
• Asymptotics of correlation function of twist fields in two-dimensional lattice fermion model