Diagonal finite volume matrix elements in the sinh-Gordon model

Abstract

Using the fermionic basis we conjecture exact expressions for diagonal finite volume matrix elements of exponential operators and their descendants in the sinh-Gordon theory. Our expressions sum up the LeClair-Mussardo type infinite series generalized by Pozsgay for excited state expectation values. We checked our formulae against the Liouville three-point functions for small, while against Pozsgay's expansion for large volumes and found complete agreement.

19 pages, 1 figure

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Cited by in corpus (11)

• Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Approaching the Self-Dual Point of the Sinh-Gordon model
• Leading exponential finite size corrections for non-diagonal form factors
• Functional Equations and Separation of Variables for Exact g-Function
• Exact finite volume expectation values of conserved currents
• Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz
• TCSA and the finite volume boundary state
• OPE coefficients and the mass-gap from the integrable scattering description of 2D CFT's
• Two-dimensional massive integrable models on a torus
• Finite volume form factors in integrable theories