D-foam-induced flavor condensates and breaking of supersymmetry in free Wess-Zumino fluids

Abstract

Recently [1,2], 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.

Dark Matter and Dark Energy Induced by Condensates

“…Such phenomena have a non-zero vacuum energy which cannot be removed by use of the normal ordering procedure. This fact, in a supersymmetric context, induces the spontaneous breaking of supersymmetry [51]- [55].…”

Physical flavor neutrino states

“…It has been argued [17,18] that the flavor vacuum structure can provide a mechanism for supersymmetry breaking. This can be seen [17] by considering a Lagrangian of the form 3 m 2 ).…”

Vacuum Condensates as a Mechanism of Spontaneous Supersymmetry Breaking

“…Considering the range of the phenomena described by this picture, this mechanism may occur at a fundamental level, for example triggered by particle mixing, as proposed in [21,22], or at an emergent level. The first possibility is very interesting from a phenomenological point of view and may be used for model building, while the latter possibility suggests, as said, the possibility of conceiving experimental measurements of the vacuum energy due to the condensates, therefore corroborating our conjecture [7].…”