Flavour-Condensate-induced Breaking of Supersymmetry in Free Wess-Zumino Fluids

TL;DR

This paper explores how a string-inspired quantum space-time foam model induces a flavour vacuum that leads to non-perturbative supersymmetry breaking, with potential implications for dark energy and matter in low-energy effective theories.

Contribution

It demonstrates that the flavour vacuum causes supersymmetry breaking through an inequivalent representation, linking quantum gravity effects to observable cosmological phenomena.

Findings

Bosonic sector acts as dark energy

Fermionic sector behaves like dust

Supersymmetry breaking is non-perturbative and low-energy

Abstract

Recently we argued that a particular model of string-inspired quantum space-time foam (D-foam) may induce oscillations and mixing among flavoured particles. As a result, rather than the mass-eigenstate vacuum, the correct ground state to describe the underlying dynamics is the flavour vacuum, proposed some time ago by Blasone and Vitiello as a description of quantum field theories with mixing. At the microscopic level, the breaking of target-space supersymmetry is induced in our space-time foam model by the relative transverse motion of brane defects. Motivated by these results, we show that the flavour vacuum, introduced through an inequivalent representation of the canonical (anti-) commutation relations, provides a vehicle for the breaking of supersymmetry (SUSY) at a low-energy effective field theory level; on considering the flavour-vacuum expectation value of the energy-momentum tensor and comparing with the form of a perfect relativistic fluid, it is found that the bosonic sector contributes as dark energy while the fermion contribution is like dust. This indicates a strong and novel breaking of SUSY, of a non-perturbative nature, which may characterize the low energy field theory of certain quantum gravity models.