On the Spontaneous Identity of Chiral and Super Symmetry Breaking in Pure Super Yang Mills Theories

TL;DR

This paper demonstrates that in pure Super Yang-Mills theories, spontaneous chiral and gauge symmetry breaking inherently leads to spontaneous supersymmetry breaking, linking these phenomena through condensate dynamics.

Contribution

It establishes a fundamental connection between chiral, gauge, and supersymmetry breaking in supersymmetric Yang-Mills theories, highlighting the role of condensates.

Findings

Spontaneous chiral and gauge symmetry breaking implies supersymmetry breaking.

Condensates of gauginos and gauge bosons are central to symmetry breaking.

Supersymmetry breaking is tied to the structure of the Lagrangian density condensate.

Abstract

We show that in supersymmetric pure Yang Mills theories with arbitrary simple gauge group, the spontaneous breaking of chiral fermionic and bosonic charge by the associated gaugino and gauge boson condensates implies the spontaneous breaking of supersymmetry by the condensate of the underlying Lagrangian density. The explicit breaking of the restricted fermionic charge through the chiral anomaly is deferred to a secondary stage in the elimination of infrared singularities or long range forces.