The Lax pair for the fermionic Bazhanov-Stroganov $R$-operator
High Energy Physics - Theory
2020-12-10 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We derive the Lax connection of the free fermion model on a lattice starting from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic parametrization for the R-operator. It results in the Yang-Baxter and decorated Yang-Baxter equations of difference type in one of the spectral parameters, which is the most suitable form to obtain any relativistic model of free fermions in the continuous limit.
Cite
@article{arxiv.2011.03066,
title = {The Lax pair for the fermionic Bazhanov-Stroganov $R$-operator},
author = {A. Melikyan and G. Weber},
journal= {arXiv preprint arXiv:2011.03066},
year = {2020}
}
Comments
9 pages