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The eight-vertex model: Spectrum of the transfer matrix and classification of the excited states

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Zeitschrift für Physik B Condensed Matter

Abstract

We study the eigenvalue problem for the transfer matrix of the eight-vertex model by analyzing the Bethe Ansatz equations. Using functional equations and complex variable theory the excited states of the model are completely classified in terms of strings of “complex moments”. The different possible strings are determined. The main result of this paper is the derivation of a basic set of equations from which string positions can be calculated in terms of excitation parameters. The case of 2- and 4-particle excitations is analyzed in detail.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, D-5000, Köln 41, Federal Republic of Germany

    A. Klümper & J. Zittartz

Authors
  1. A. Klümper
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  2. J. Zittartz
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Additional information

Work performed within the research program of the Sonderforschungsbereich 125, Aachen-Jülich-Köln

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Klümper, A., Zittartz, J. The eight-vertex model: Spectrum of the transfer matrix and classification of the excited states. Z. Physik B - Condensed Matter 75, 371–384 (1989). https://doi.org/10.1007/BF01321825

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  • DOI: https://doi.org/10.1007/BF01321825

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