Breathers in the elliptic sine-Gordon model

by Castro Alvaredo, Olalla A.

Abstract

This talk will be a summary of the results presented in hep-th/0303245 namely, we provide a new representation for the scattering amplitudes in the soliton-antisoliton sector of the elliptic sine-Gordon model in terms of infinite products of q-deformed gamma functions. When relaxing the usual restriction on the coupling constants, we find that the model contains additional bound states which admit an interpretation as breathers. These breather bound states are unavoidably accompanied by Tachyons. We compute the complete S-matrix describing the scattering of the breathers amonst themselves and with the soliton-antisoliton sector. We carry out various reductions of the model, one of them leading to a new type of theory, namely an elliptic version of the minimal D(n+1)-affine Toda field theory.