18.8. SineGordon a. Study the analytic structure of the S-matrix of the solitons of the SineGordon model,
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18.8. Sine–Gordon
a. Study the analytic structure of the S-matrix of the solitons of the Sine–Gordon model, identifying all the sequences of the poles in the amplitudes.
b. Using the following definition of the breathers Bn Bnθ1 +θ2 2
= lim
θ1−θ2→inξ %A(θ2)
A¯(θ1)+(−1)nA¯(θ2)A(θ1)&
compute the S-matrix of these particles by means of the residue of the S-matrix of the solitons.
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Authors: Giuseppe Mussardo
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