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Conservation laws and bosonization in integrable Luttinger liquids

J. M. P. Carmelo·A. H. Castro Neto·D. K. Campbell
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Abstract

We examine and explain the Luttinger-liquid character of models solvable by the Bethe ansatz by introducing a suitable bosonic operator algebra. In the case of the Hubbard chain, this involves two bosonic algebras which apply to {\it all} values of $U$, electronic density, and magnetization. Only at zero magnetization does this lead to the usual charge - spin separation. We show that our ``pseudoparticle'' operator approach clarifies, unifies, and extends several recent results, including the existence of independent right and left equations of motion and the concept of ``pseudoparticle'' (also known as ``Bethe quasiparticle'').

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J. M. P. Carmelo, A. H. Castro Neto, D. K. Campbell. 1994-06-02. Conservation laws and bosonization in integrable Luttinger liquids. https://doi.org/10.1103/physrevlett.73.926

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