Large Softly broken N=2 QCD

TL;DR

This paper investigates the effects of soft supersymmetry breaking in N=2 supersymmetric Yang-Mills theories, providing exact effective potentials and insights into confinement and chiral symmetry breaking, with implications for understanding the QCD vacuum.

Contribution

It offers an exact expression for the effective potential under small supersymmetry breaking and explores the transition to non-supersymmetric QCD-like behavior.

Findings

Exact effective potential for small supersymmetry breaking

Description of confinement transition patterns

Hints on non-local degrees of freedom in QCD vacuum

Abstract

We analyze the possible soft breaking of $N=2$ supersymmetric Yang-Mills theory with and without matter flavour preserving the analyticity properties of the Seiberg-Witten solution. For small supersymmetry breaking parameter with respect to the dynamical scale of the theory we obtain an exact expression for the effective potential. We describe in detail the onset of the confinement transition and some of the patterns of chiral symmetry breaking. If we extrapolate the results to the limit where supersymmetry decouples, we obtain hints indicating that perhaps a description of the QCD vacuum will require the use of Lagrangians containing simultaneously mutually non-local degrees of freedom (monopoles and dyons).