Spontaneous Supersymmetry Breaking Induced by Vacuum Condensates

TL;DR

This paper introduces a new mechanism for spontaneous supersymmetry breaking driven by vacuum condensates, which are fundamental in various quantum phenomena, with evidence provided through the Wess--Zumino model and potential experimental implications.

Contribution

It proposes a novel, condensate-based mechanism for spontaneous supersymmetry breaking applicable across multiple physical systems.

Findings

Supersymmetry is spontaneously broken in systems with vacuum condensates.

Evidence demonstrated using the Wess--Zumino model.

Estimates suggest observable effects in optical lattice experiments.

Abstract

We propose a novel mechanism of spontaneous supersymmetry breaking which relies upon an ubiquitous feature of Quantum Field Theory, vacuum condensates. Such condensates play a crucial r\^{o}le in many phenomena. Examples include Unruh effect, superconductors, particle mixing, and quantum dissipative systems. We argue that in all these phenomena supersymmetry, when present, is spontaneously broken. Evidence for our conjecture is given for the Wess--Zumino model, that can be considered an approximation to the supersymmetric extensions of the above mentioned systems. The magnitude of the effect is estimated for a recently proposed experimental setup based on an optical lattice.