Spin Content of the Quantum Soliton

Abstract

The classical soliton solution, quantized by means of suitable translational and rotational collective coordinates, is embedded into the one-particle irreductible representation of the Poincare group corresponding to a definite spin. It is shown, that within the conventional quasiclassical expansion such embedding leads to a set of nontrivial consistency conditions imposed on the classical solution. The validity of these relations is considered for a number of soliton models in 2+1- and 3+1-dimensions.

10 pages, Standard LaTeX

References in corpus (1)

• O(3) Non-linear $\sigma$ model with Hopf term and Higher spin theories

Cited by in corpus (1)

• Space Symmetries and Quantum Behavior of Finite Energy Configurations in SU(2)-Gauge Theory