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Flavour-Condensate-induced Breaking of Supersymmetry in Free Wess-Zumino Fluids
High Energy Physics - Theory · Submitted 2 Oct 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recently we argued that a particular model of string-inspired quantum space-time foam (D-foam) may induce oscillations and mixing among flavoured particles. | background 0.92 | 0.78 | 0.04 | hedged possibility 1.00 |
| s1 | 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. | background 0.46 | 0.13 | 0.06 | asserted 1.00 |
| s2 | 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. | background 0.48 | 0.57 | 0.06 | asserted 0.99 |
| s3 | 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. | result 0.75 | 0.95 | 0.81 | asserted 1.00 |
| s4 | 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. | interpretation 0.99 | 0.72 | 0.48 | hedged possibility 0.95 |
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The paper
Original 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.
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How the literature uses it
3 arXiv papers cite this in 11 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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Motivated by this discrepancy, we next embark on the analysis of a simple supersymmetric model in flat spacetime (free Wess-Zumino), proving that the bosonic component of flavour vacuum acts as Dark Energy, whereas the fermionic as a source of Dark Matter.
Flavour Condensate and the Dark Sector of the Universe · 0.91
What it cites · 57 sentences without a confident label
Uses the method or tool of 1 paper
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Following the BV formalism [ref] , we introduce the operator $G_θ(t)$, connecting fields between the flavour and mass representations as follows: ϕ_A(x) = G^†_θ(t) ϕ_1 (x)G_θ(t)ϕ_B(x) = G^†_θ(t) ϕ_2 (x)G_θ(t) with $ϕ=ψ$, $S$, $P$.
QUANTUM FIELD THEORY OF FERMION MIXING · Flavour Mixing Formalism · 1.00
Compares with 2 papers
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In order to understand the above results and compare them with our previous work [ref] , it is useful to disentangle the various contributions to $e$ and $p$ coming from the boson and Majorana fermion fields.
Towards a microscopic construction of flavour vacua from a space-time foam model · Different Equation of State for Bosons and Fermions - Strong & Novel SUSY Breaking · 0.97
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In order to understand the above results and compare them with our previous work [ref] , it is useful to disentangle the various contributions to $e$ and $p$ coming from the boson and Majorana fermion fields.
Flavour Condensates in Brane Models and Dark Energy · Different Equation of State for Bosons and Fermions - Strong & Novel SUSY Breaking · 0.97
Cites as support 2 papers
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As remarked in [ref] , this distinct behaviour in the collective properties between fermions and bosons is a novel non-perturbative measure of Supersymmetry (SUSY) breaking, which is consistent with the Lorentz-violating nature of the BV formalism.
Flavour Condensates in Brane Models and Dark Energy · Introduction · 0.97
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Moreover, the fact that there is particle creation in our string case and in the flavour vacuum [ref] , as mentioned above, constitutes an additional consistency check of the identification of the latter with the physical vacuum in our D-foam model.
QUANTUM FIELD THEORY OF FERMION MIXING · On the Scale of flavour-vacuum-condensate-induced Supersymmetry Breaking · 0.97
Cites as background 1 paper
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[The assumptions on having right handed neutrinos in models beyond the standard model is not uncommon, see for instance [ref] .] With the above in mind, we observe that, upon a Fierz rearrangement, the four-fermion interactions ([ref]), involving both left- and right-handed flavoured fermions, includes terms : [equation] where for brevity and concreteness we have assumed one type of Non-Standard-Model interaction among neutrinos due to the intermediate string states, with $𝒢 > 0$ (which is proportional to the square of the pertinent coupling), and the spinors have both left and right-handed components, i.e. $ψ_i = [ ψ_L; ψ_R ]_i , i = 1, …N$ where $N$ is the number of flavours.
Baryogenesis from a right-handed neutrino condensate · D-foam-Induced Fermion Condensates and Flavour Vacuum Stability · 0.80
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