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arxiv: 1903.06990 · v1 · pith:SX77RCESnew · submitted 2019-03-16 · ✦ hep-th · math-ph· math.MP

Diagonal finite volume matrix elements in the sinh-Gordon model

classification ✦ hep-th math-phmath.MP
keywords diagonalelementsexpressionsfinitematrixpozsgaysinh-gordonvolume
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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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