Spin Content of the Quantum Soliton

TL;DR

This paper investigates how quantum solitons' spin content can be derived from classical solutions using a quasiclassical approach, revealing consistency conditions that must be satisfied across various models in different dimensions.

Contribution

It introduces a method to embed classical soliton solutions into quantum representations, deriving new consistency conditions for their spin content in 2+1 and 3+1 dimensions.

Findings

Consistency conditions are derived for quantum soliton spin embedding.

The validity of these conditions is tested across multiple models.

The approach links classical solutions with quantum Poincare representations.

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.