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arXiv · hep-th/9806083

Fermionic R-Operator for the Fermion Chain Model

Yukiko Umeno·Masahiro Shiroishi·Miki Wadati
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Abstract

The integrability of the one-dimensional (1D) fermion chain model is investigated in the framework of the Quantum Inverse Scattering Method (QISM). We introduce a new R-operator for the fermion chain model, which is expressed in terms of the fermion operators. The R-operator satisfies a new type of the Yang-Baxter relation with fermionic L-operator. We derive the fermionic Sutherland equation from the relation, which is equivalent to the fermionic Lax equation. It also provides a mathematical foundation of the boost operator approach for the fermion model. In fact, we obtain some higher conserved quantities of the fermion model using the boost operator.

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Yukiko Umeno, Masahiro Shiroishi, Miki Wadati. 1998-06-11. Fermionic R-Operator for the Fermion Chain Model. https://doi.org/10.1143/jpsj.67.1930

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