The Lax pair for the fermionic Bazhanov-Stroganov R-operator

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.

Keywords

• Integrable systems
• Yang-Baxter equation
• Lax pair
• One-dimensional Hubbard model