Speaker
Apor Roth
(Eötvös Loránd University)
Description
We study the ultraviolet (UV) limit of finite-volume expectation values of vertex operators in the sine-Gordon model using the kink nonlinear integral equation (NLIE) description of the conformal limit.
By analysing the integrable formulation of vacuum expectation values, we conjecture an explicit analytic expression, given in terms of kink functions, for the leading asymptotic term in the small-volume expansion. This establishes a direct connection between the integrable finite-volume description and the expected conformal asymptotics.
The proposed formula is tested against the analytic expression known from complex Liouville conformal field theory using high-precision numerics, showing agreement up to approximately 30 significant digits.
Authors
Dr
Árpád Hegedűs
(HUN-REN Wigner Research Centre for Physics)
Apor Roth
(Eötvös Loránd University)