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Zero curvature representation for classical lattice sine-Gordon model via quantum R matrix

  • Methods of Theoretical Physics
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Abstract

Local M operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4×4 R matrix with certain vectors in its “quantum” space. Components of the vectors are τ functions of the model. This construction generalizes the known representation of continuous-time M operators in terms of the classical r matrix.

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Authors and Affiliations

  1. Institute of Theoretical and Experimental Physics, 117259, Moscow, Russia

    A. V. Zabrodin

  2. Joint Institute of Chemical Physics, 117334, Moscow, Russia

    A. V. Zabrodin

Authors
  1. A. V. Zabrodin
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Additional information

Pis’ma Zh. Éksp. Teor. Fiz. 66, No. 9, 620–625 (10 November 1997)

Published in English in the original Russian journal. Edited by Steve Torstveit.

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Zabrodin, A.V. Zero curvature representation for classical lattice sine-Gordon model via quantum R matrix. Jetp Lett. 66, 653–659 (1997). https://doi.org/10.1134/1.567561

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  • DOI: https://doi.org/10.1134/1.567561

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