Soliton Stability in a Generalized Sine-Gordon Potential

TL;DR

This paper investigates the stability of topological solitons in a generalized sine-Gordon model with two coupled scalar fields, analyzing their spectra through Schrödinger-like operators.

Contribution

It introduces a generalized sine-Gordon model with coupled fields and derives stability conditions using spectral analysis of fluctuations.

Findings

Topological soliton solutions are explicitly constructed.

Spectra of fluctuation operators are computed.

Stability criteria for the solitons are established.

Abstract

We study stability of a generalized sine-Gordon model with two coupled scalar fields in two dimensions. Topological soliton solutions are found from the first-order equations that solve the equations of motion. The perturbation equations can be cast in terms of a Schrodinger-like operators for fluctuations and their spectra are calculated.