Quantum theory of solitons

Faddeev L.D., Korepin V.E.

This paper describes the quantum theory of solitons – the localized solutions of the classical field equations. The scattering matrix for the processes with solitons is defined within the functional integral formalism. The Lorentz-invariant perturbation theory for solitons is consistently set up. The physical properties of solitons are calculated for two-dimensional scalar theories in the one-loop approximation.