Diagonal finite volume matrix elements in the sinh-Gordon model

Bajnok, Zoltan (MTA Lendület Holographic QFT Group, Wigner Research Centre for Physics, Konkoly-Thege Miklós u. 29-33, Budapest, 1121, Hungary) ; Smirnov, Fedor (Sorbonne Universite, UPMC Univ Paris 06, CNRS, UMR 7589, LPTHE, Paris, F-75005, France)

19 June 2019

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.


Published in: Nuclear Physics B 945 (2019) DOI: 10.1016/j.nuclphysb.2019.114664
License: CC-BY-3.0



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