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.

9 pages

References in corpus (4)

• The Bethe ansatz approach for factorizable centrally extended S-matrices
• On the quantization of continuous non-ultralocal integrable systems
• On the equivalence theorem for integrable systems
• A lattice model related to the nonlinear Schroedinger equation

Cited by in corpus (1)

• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT