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Energy Renormalization in a Berry Geometrical Phase: Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap

Publié
Serveur de preprints
Preprints.org
DOI
10.20944/preprints202307.1051.v17

A Berry geometrical phase is identified in a strongly metastable system containing dynamically responsive nanoscale clathrate hydrate structures within a crystal-fluid material. High energy degeneracy in the associated chemistry produces local stability and false vacuum conditions that lead to non-additive and non-extensive contributions in the fundamental thermodynamic relation. Application of Ginzburg-Landau theory and the scaling laws reveals a penetration depth (2.2 m) and a coherence length (3.05 m) that characterize a macro-scale dual superconductor. The penetration depth determines the extent of QCD vacuum suppression whilst its inverse gives an effective vector boson mass (≤ 0.46 kg), resulting in non-additive hyperbolic curvature. The coherence length describes a magnetic condensate whilst its inverse gives the Higgs mass (0.33 kg) and non-extensive volume changes (± 0.5 l). Simultaneous emergence of the Ginzburg-Landau superconducting phase transition is consistent with gauge-invariant coupling of the scalar field (≤ 3.6 ks-1) to the Yang-Mills action in QCD. The discovery of an energy gap in the gradient energy term of the system Lagrangian is associated with a critical correlation length (3.05 m) as revealed in the transition from a gapped to a gapless superconducting state. Together with the emergence and reabsorption of the Higgs-like scalar field, a mechanism for describing a renormalized QCD mass gap arises. The phenomena reported are only relevant to a coordinated U(2) Lie symmetry group having scale-invariance across micro- and macro-scale dual superconductivity. Under normal, non-critical conditions the symmetry is broken and separated into condensed matter and QCD elements that are effectively isolated. Hence energy and momentum cannot transfer across the QCD mass gap and TeV confinement energies dominate- conservation of energy and momentum is defined separately within each distinct symmetry group. It is proposed that where these symmetry groups are decomposed and synchronized then the QCD mass gap with associated TeV threshold dissipates.

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