Resonances in sinh- and sine-Gordon models and higher equations of motion in Liouville theory

@article{Lashkevich2012ResonancesIS,
title={Resonances in sinh- and sine-Gordon models and higher equations of motion in Liouville theory},
author={M. Lashkevich},
journal={Journal of Physics A},
year={2012},
volume={45},
pages={455403}
}

The notion of operator resonances was previously introduced by Al Zamolodchikov within the framework of the conformal perturbation theory. The resonances are related to logarithmic divergences of integrals in the perturbation expansion, and manifest themselves in poles of the correlation functions and form factors of local operators considered as functions of conformal dimensions. The residues of the poles can be computed by means of some operator identities. Here, we study the resonances in… CONTINUE READING