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

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Submitted:

17 December 2024

Posted:

19 December 2024

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Abstract

A Berry geometrical phase is identified in a strongly metastable system containing dynamically responsive 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-extensive and non-additive contributions in the fundamental thermodynamic relation. Application of Ginzburg-Landau theory and the scaling laws reveals a coherence length (3.05 m) and a penetration depth (2.2 m) that characterize a macro-scale dual superconductor. 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). 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. 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) revealed in the transition from a gapped to a gapless superconducting state. Together with the emergence and absorption 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) symmetry group having scale-invariance across micro- and macro-scale QCD dual superconductivity. Under normal, non-critical conditions the symmetry is broken and separated into SU(2) Abelian condensed matter and SU(3) non-Abelian QCD elements that are effectively isolated. Energy and momentum cannot be transferred across the QCD mass gap and TeV confinement energies dominate where the conservation of energy and momentum are confined to each individual symmetry group. It is proposed that where these symmetries are decomposed and coordinated then the QCD mass gap with associated TeV threshold dissipates.

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Subject: Physical Sciences  -   Particle and Field Physics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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