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The form factor program: A review and new results, the nested SU(N) off-shell Bethe ansatz and the 1/N expansion

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Abstract

The purpose of the “bootstrap program” for integrable quantum field theories in 1+1 dimensions is to construct a model explicitly in terms of its Wightman functions. We illustrate this program here mainly in terms of the SU(N) Gross-Neveu model. We construct the nested off-shell Bethe ansatz for an SU(N) factoring S-matrix and consider the problem of how to sum over intermediate states in the short-distance limit of the two-point Wightman function for the sinh-Gordon model.

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Authors and Affiliations

  1. Yerevan Physics Institute, Yerevan, Armenia

    H. M. Babujian

  2. Instituto de Física da UFRGS, Porto Alegre, Brazil

    A. Foerster

  3. Institut für Theoretische Physik, Freie Universität Berlin, Berlin, Germany

    M. Karowski

Authors
  1. H. M. Babujian
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  2. A. Foerster
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  3. M. Karowski
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Corresponding author

Correspondence to H. M. Babujian.

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__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 1, pp. 13–24, April, 2008.

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Babujian, H.M., Foerster, A. & Karowski, M. The form factor program: A review and new results, the nested SU(N) off-shell Bethe ansatz and the 1/N expansion. Theor Math Phys 155, 512–522 (2008). https://doi.org/10.1007/s11232-008-0042-7

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  • DOI: https://doi.org/10.1007/s11232-008-0042-7

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