Soliton solutions of a gauged O(3) sigma model with interpolating potential

TL;DR

This paper investigates soliton solutions in a gauged O(3) sigma model with an interpolating potential, analyzing how the transition from symmetry-breaking to symmetric phase occurs through numerical methods.

Contribution

It introduces a study of soliton solutions in a gauged sigma model with a tunable potential, highlighting phase transitions via numerical analysis.

Findings

Numerical solutions obtained using Runge-Kutta method.

Transition from symmetry-breaking to symmetric phase demonstrated.

Interpolation parameter controls phase transition.

Abstract

Soliton modes in a gauged sigma model with interpolating potential have been investigated. Numerical solutions using a fourth order Runge -- Kutta method are discussed. By tuning the interpolation parameter the transition from symmetrybreaking to the symmetric phase is highlighted.