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Solution of the initial value problem for the sine-Gordon equation using a Kac-Moody algebra

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Abstract

We solve the classical sine-Gordon equation using a Lax pair belonging to a Kac-Moody algebra. By realising the algebra in terms of fermionic currents we reduce the initial value problem to the evaluation of a fermionic propagator as a sum of Feynman diagrams.

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  1. Paul Mansfield

    Present address: CERN, Geneva

Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, CB3 9EW, Cambridge, United Kingdom

    Paul Mansfield

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  1. Paul Mansfield
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Communicated by A. Jaffe

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Mansfield, P. Solution of the initial value problem for the sine-Gordon equation using a Kac-Moody algebra. Commun.Math. Phys. 98, 525–537 (1985). https://doi.org/10.1007/BF01209328

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  • DOI: https://doi.org/10.1007/BF01209328

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