Quantization of Solitons

TLDR: In this article, the Lagrangian of the theory contains only one field, but a complete spectrum of particles is manifested, and the quantum corrections are small for small coupling constants and the quasiclassical treatment determines the entire nonanalytic contribution to the physical quantities.

Abstract: We hope that we have succeeded in convincing the reader that this one-dimensional nonlinear model of field theory has a number of attractive properties. Let us list some of them. 1. The Lagrangian of the theory contains only one field, but a complete spectrum of particles is manifested. In the weak interaction approximation the solitons are heavy particles and they interact strongly. 2. The solitons have a quantum number which has a topological nature, and this can be interpreted as a charge. Solitons with the same charge repel each other, while solitons with different charge attract oacl other. 3. In the weak interaction approximation a prescription exists for calculating in perturbation theory. The quantum corrections are small for small coupling constants, and the quasiclassical treatment determines the entire nonanalytic contribution to the physical quantities.