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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.
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https://hal.archives-ouvertes.fr/hal-02088887
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Zoltan Bajnok, Fedor Smirnov. Diagonal finite volume matrix elements in the sinh-Gordon model. Nucl.Phys.B, 2019, 945, pp.114664. ⟨10.1016/j.nuclphysb.2019.114664⟩. ⟨hal-02088887⟩

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