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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Submitted on : Wednesday, April 3, 2019 - 11:52:41 AM
Last modification on : Wednesday, April 17, 2019 - 4:28:00 AM

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Zoltan Bajnok, Fedor Smirnov. Diagonal finite volume matrix elements in the sinh-Gordon model. 2019. ⟨hal-02088887⟩

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