Quantum fluctuations of topological ${\mathbb S}^3$-kinks

TL;DR

This paper investigates the quantum fluctuations and Casimir effect associated with topological ${ m S}^3$-kinks in a massive non-linear sigma model, providing insights into their quantum properties.

Contribution

It introduces a detailed analysis of the kink Casimir effect in the context of ${ m S}^3$-sigma models, highlighting quantum fluctuation phenomena.

Findings

Calculation of the kink Casimir energy

Identification of quantum fluctuation effects on topological kinks

Insights into the quantum stability of ${ m S}^3$-kinks

Abstract

The kink Casimir effect in the massive non-linear $S^3$-sigma model is analyzed.