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

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. (C) 2020 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license.

Automated summary

Starting from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic parametrization for the R-operator, we derive the Lax connection of the free fermion model on a lattice. This leads to the Yang-Baxter and decorated Yang-Baxter equations of difference type in one of the spectral parameters, providing the most suitable form for obtaining any relativistic model of free fermions in the continuous limit.