The Lax pair for the fermionic Bazhanov-Stroganov R-operator
Copyright policy )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.
9 pages
- UNIVERSIDADE DE SAO PAULO Brazil
- University of Brasília Brazil
- Universidade de Sao Paolo Brazil
- Universidade de São Paulo Brazil
High Energy Physics - Theory, One-dimensional Hubbard model, Special quantum systems, such as solvable systems, Yang-Baxter equations, Covariant wave equations in quantum theory, relativistic quantum mechanics, Lax pair, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Physics, QC1-999, Yang-Baxter equation, FOS: Physical sciences, Mathematical Physics (math-ph), Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Fermionic systems in quantum theory, integrable systems, High Energy Physics - Theory (hep-th), Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.), Integrable systems, Exactly Solvable and Integrable Systems (nlin.SI), one-dimensional Hubbard model, Mathematical Physics, Continuum limits in quantum field theory
High Energy Physics - Theory, One-dimensional Hubbard model, Special quantum systems, such as solvable systems, Yang-Baxter equations, Covariant wave equations in quantum theory, relativistic quantum mechanics, Lax pair, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Physics, QC1-999, Yang-Baxter equation, FOS: Physical sciences, Mathematical Physics (math-ph), Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Fermionic systems in quantum theory, integrable systems, High Energy Physics - Theory (hep-th), Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.), Integrable systems, Exactly Solvable and Integrable Systems (nlin.SI), one-dimensional Hubbard model, Mathematical Physics, Continuum limits in quantum field theory
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