Fermionic R-Operator for the Fermion Chain Model
High Energy Physics - Theory
2009-10-31 v1
Abstract
The integrability of the one-dimensional (1D) fermion chain model is investigated in the framework of the Quantum Inverse Scattering Method (QISM). We introduce a new R-operator for the fermion chain model, which is expressed in terms of the fermion operators. The R-operator satisfies a new type of the Yang-Baxter relation with fermionic L-operator. We derive the fermionic Sutherland equation from the relation, which is equivalent to the fermionic Lax equation. It also provides a mathematical foundation of the boost operator approach for the fermion model. In fact, we obtain some higher conserved quantities of the fermion model using the boost operator.
Cite
@article{arxiv.hep-th/9806083,
title = {Fermionic R-Operator for the Fermion Chain Model},
author = {Yukiko Umeno and Masahiro Shiroishi and Miki Wadati},
journal= {arXiv preprint arXiv:hep-th/9806083},
year = {2009}
}
Comments
12 pages, 4 figures