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arXiv · 1903.06990

Diagonal finite volume matrix elements in the sinh-Gordon model

Zoltan Bajnok·Fedor Smirnov
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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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Zoltan Bajnok, Fedor Smirnov. 2019-03-16. Diagonal finite volume matrix elements in the sinh-Gordon model. https://doi.org/10.1016/j.nuclphysb.2019.114664

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