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

DOI10.1007/BF01209328zbMath0579.35073OpenAlexW1965094529MaRDI QIDQ1067111

Paul R. W. Mansfield

Publication date: 1985

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01209328

zbMATH Keywords

sine-Gordon equationFeynman diagramsLax pairKac-Moody algebrafermionic currentsfermionic propagator

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Infinite-dimensional Lie (super)algebras (17B65) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for second-order hyperbolic equations (35L15)

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Cites Work

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• Lie algebras associated with generalized Cartan matrices