Scattering theory for the Federbush, massless Thirring and continuum Ising models

AbstractThe existence of the LSZ limits of the positive energy quantum fields of the Federbush, Thirring and Ising models is proved. The corresponding S-matrices are obtained explicitly, confirming previous formal results, and are shown to result from a large class of dynamics. The scattering theory for the Federbush and Thirring models on the classical and negative energy quantum levels is studied as well. The wave and scattering operators are shown to exist and are obtained explicitly, and they are proved to be shared by a large class of dynamics, containing in particular the polynomial conserved charges