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Backlund Transformations and Geometric and Complex-Analytic Background for Construction of Completely Integrable Lattice Systems

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Symmetries in Particle Physics

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Abstract

Topological and complex analytic background is given for the introduction of the concept of Backlund transformation (BT). Backlund transformation is introduced from the point of view of isomonodromy deformation. The axiom of permutability of BTs is equivalent to the Baxter-Zamolodchikov introduction of completely integrable quantum systems with factorized S-matrices. Many important concrete examples of classical and quantum completely integrable systems of field theory and statistical mechanics are considered.

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Authors and Affiliations

  1. Department of Mathematics, Columbia University, New York, NY, 10027, USA

    D. V. Chudnovsky

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  1. D. V. Chudnovsky
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Editors and Affiliations

  1. University of Southern California, Los Angeles, California, USA

    Itzhak Bars

  2. Yale University, New Haven, Connecticut, USA

    Alan Chodos  & Chia-Hsiung Tze  & 

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Chudnovsky, D.V. (1984). Backlund Transformations and Geometric and Complex-Analytic Background for Construction of Completely Integrable Lattice Systems. In: Bars, I., Chodos, A., Tze, CH. (eds) Symmetries in Particle Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-5313-1_16

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  • DOI: https://doi.org/10.1007/978-1-4899-5313-1_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-5315-5

  • Online ISBN: 978-1-4899-5313-1

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