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.

arXiv comment9 pages

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• On extension of the Yang-Baxter equation and the fermionic $R$-operator
• On integrability of the one-dimensional Hubbard model