SU(2) × SU(2)-invariant scattering matrix of the Hubbard model

Fabian H.L. Essler; Vladimir E. Korepin

doi:10.1016/0550-3213(94)90019-1

SU(2) × SU(2)-invariant scattering matrix of the Hubbard model

Fabian H.L. Essler
, Vladimir E. Korepin

Institute for Theoretical Physics

University of Bonn

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

Abstract

We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fundamental representation of SU(2) × SU(2). We determine the exact two-particle scattering matrix, which is a solution of the Yang-Baxter equation and reflects the SO(4) symmetry of the model. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.

Original language	English
Pages (from-to)	505-533
Number of pages	29
Journal	Nuclear Physics, Section B
Volume	426
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(94)90019-1
State	Published - Sep 19 1994

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title = "SU(2) × SU(2)-invariant scattering matrix of the Hubbard model",

abstract = "We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fundamental representation of SU(2) × SU(2). We determine the exact two-particle scattering matrix, which is a solution of the Yang-Baxter equation and reflects the SO(4) symmetry of the model. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.",

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AU - Korepin, Vladimir E.

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N2 - We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fundamental representation of SU(2) × SU(2). We determine the exact two-particle scattering matrix, which is a solution of the Yang-Baxter equation and reflects the SO(4) symmetry of the model. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.

AB - We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fundamental representation of SU(2) × SU(2). We determine the exact two-particle scattering matrix, which is a solution of the Yang-Baxter equation and reflects the SO(4) symmetry of the model. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.

UR - https://www.scopus.com/pages/publications/0039675308

U2 - 10.1016/0550-3213(94)90019-1

DO - 10.1016/0550-3213(94)90019-1

M3 - Article

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SN - 0550-3213

VL - 426

SP - 505

EP - 533

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

SU(2) × SU(2)-invariant scattering matrix of the Hubbard model

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