Diagonal finite volume matrix elements in the sinh-Gordon model

Zoltan Bajnok , Fedor Smirnov (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

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.

Mots clés: sinh-Gordon equation; finite size; n-point function: 3; excited state

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]

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⟩