Complex BPS domain walls and phase transition in mass in supersymmetric QCD

TL;DR

This paper investigates the behavior of BPS domain walls in supersymmetric QCD, revealing a critical mass beyond which these solutions no longer exist or change character, indicating a phase transition.

Contribution

It demonstrates the existence and limitations of BPS domain walls in supersymmetric QCD as a function of mass, highlighting a phase transition at a critical mass value.

Findings

BPS domain walls exist only within a specific mass range.

Beyond a critical mass, BPS solutions disappear or become non-BPS.

The system undergoes a qualitative change at the critical mass.

Abstract

We study the domain walls connecting different chirally asymmetric vacua in supersymmetric QCD. We show that BPS - saturated solutions exist only in the limited range of mass. When m exceeds some critical value, the domain wall either ceases to be BPS - saturated or disappears altogether. In any case, the properties of the system are qualitatively changed.