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arXiv:cond-mat/9708064 · Journal of Physics A Mathematical and General

(4) symmetry of the transfer matrix for the one-dimensional Hubbard model

Masahiro Shiroishi, Hideaki Ujino, Miki Wadati

Published Mar 13, 1998• 17 citations
arXivHTMLPDF

Abstract

The SO (4) invariance of the transfer matrix for the one-dimensional Hubbard model is clarified from the viewpoint of the quantum inverse scattering method. We demonstrate the SO (4) symmetry by means of the fermionic L -operator and the fermionic R -matrix, which satisfy the graded Yang-Baxter relation. The transformation law of the fermionic L -operator under the SO (4) rotation is identified with a kind of gauge transformation, which determines the corresponding transformation of the fermionic creation and annihilation operators under the SO (4) rotation. The transfer matrix is confirmed to be invariant under the SO (4) rotation, which ensures the SO (4) invariance of the conserved currents including the Hamiltonian. Furthermore, we show that the representation of the higher conserved currents in terms of the Clifford algebra gives manifestly SO (4) invariant forms.

DOI
10.1088/0305-4470/31/10/010

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