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

Research paper by Paul Mansfield

Indexed on: 01 Dec '85Published on: 01 Dec '85Published in: Communications in Mathematical Physics


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.