A Remark on Supersymmetric Bubbles and Spectrum Crossover

TL;DR

This paper demonstrates a spectrum crossover in a supersymmetric model, where elementary particles dominate at weak coupling and solitonic bubbles become lighter at strong coupling, with the transition occurring around a specific coupling value.

Contribution

It provides an exact expression for domain wall tension and identifies the precise coupling point of spectrum crossover in a supersymmetric theory.

Findings

Spectrum crossover from elementary to solitonic states at bcl^2/(4c) d 0.4

Elementary excitations are lightest at weak coupling

Bubbles become the lightest states at strong coupling

Abstract

Using an exact expression for the domain wall tension in a supersymmetric model we show that a spectrum crossover takes place in passing from weak to strong coupling. In the weak coupling regime elementary excitations are the lightest states, while in the strong coupling regime solitonic objects of a special type -- bubbles -- assume the role of the lightest states. The crossover occurs at \lambda^2/(4\pi) \sim 0.4.