Solution of the initial value problem for the sine-Gordon equation using a Kac-Moody algebra |
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| Authors: | Paul Mansfield |
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| Affiliation: | (1) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, CB3 9EW Cambridge, United Kingdom;(2) Present address: CERN, Geneva |
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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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