Diagonal finite volume matrix elements in the sinh-Gordon model
High Energy Physics - Theory
2019-07-24 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1903.06990,
title = {Diagonal finite volume matrix elements in the sinh-Gordon model},
author = {Zoltan Bajnok and Fedor Smirnov},
journal= {arXiv preprint arXiv:1903.06990},
year = {2019}
}
Comments
19 pages, 1 figure