Lorentz-Covariant Analysis of a Quantum Soliton

TL;DR

This paper derives integral relations for zero modes of quantum solitons based on their particle-like properties and examines their validity across various models in different dimensions.

Contribution

It introduces a Lorentz-covariant framework for analyzing zero modes in quantum solitons, extending the understanding of their particle-like behavior.

Findings

Derived integral relations for zero modes in soliton models

Validated relations across multiple 2+1 and 3+1 dimensional models

Enhanced the theoretical understanding of soliton particle properties

Abstract

A set of integral relations for rotational and translational zero modes in the vicinity of the classical soliton solution are derived from the particle-like properties of the latter. The validity of these all relations is considered for a number of soliton models in 2+1- and 3+1-dimensions.