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Diagonalization of the elliptic Ruijsenaars model. Correspondence with the Belavin model

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Abstract:

Studied is the elliptic Ruijsenaars model, which is a difference analogue of the Calogero-Sutherland-Moser model. Using a novel relationship between the elliptic Ruijsenaars operator and the transfer matrix of the Belavin model, we diagonalize the Ruijsenaars operator by the algebraic Bethe ansatz method.

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Authors and Affiliations

  1. Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo, Tokyo 113-0033, Japan, , , , , , JP

    K. Hikami & Y. Komori

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  1. K. Hikami
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  2. Y. Komori
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Received: 29 January 1998 / Accepted: 17 April 1998

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Hikami, K., Komori, Y. Diagonalization of the elliptic Ruijsenaars model. Correspondence with the Belavin model. Eur. Phys. J. B 5, 583–588 (1998). https://doi.org/10.1007/s100510050482

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  • DOI: https://doi.org/10.1007/s100510050482

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