Finite volume expectation values in the sine-Gordon model
High Energy Physics - Theory
2019-09-19 v1 Mathematical Physics
math.MP
Abstract
Using the fermionic basis discovered in the 6-vertex model, we derive exact formulas for the expectation values of local operators of the sine-Gordon theory in any eigenstate of the Hamiltonian. We tested our formulas in the pure multi-soliton sector of the theory. In the ultraviolet limit, we checked our results against Liouville 3-point functions, while in the infrared limit, we evaluated our formulas in the semi-classical limit and compared them upto 2-particle contributions against the semi-classical limit of the previously conjectured LeClair-Mussardo type formula. Complete agreement was found in both cases.
Cite
@article{arxiv.1909.08467,
title = {Finite volume expectation values in the sine-Gordon model},
author = {Arpad Hegedus},
journal= {arXiv preprint arXiv:1909.08467},
year = {2019}
}