Properties of {\cal N}=1 SUSY Yang-Mills vacuums and domain walls

TL;DR

This paper demonstrates the absence of a chirally symmetric vacuum in { m N}=1 SUSY Yang-Mills theory, calculates key vacuum properties via instantons, and offers new insights into domain wall phenomena and string-wall interactions.

Contribution

It provides a direct instanton-based calculation of vacuum properties and introduces a novel explanation for strings ending on domain walls in supersymmetric Yang-Mills theory.

Findings

No chirally symmetric vacuum exists in { m N}=1 SUSY Yang-Mills.

Gluino condensate and vacuum energy are calculated explicitly.

A new mechanism for strings ending on domain walls is proposed.

Abstract

It is shown that there is no chirally symmetric vacuum state in the {cal N}=1 supersymmetric Yang-Mills theory. The values of the gluino condensate and the vacuum energy density are found out through a direct instanton calculation. A qualitative picture of domain wall properties is presented, and a new explanation of the phenomenon of strings ending on the wall is proposed.