Preprint Article Version 9 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 13 July 2023 / Approved: 17 July 2023 / Online: 17 July 2023 (05:04:25 CEST)
Version 2 : Received: 28 July 2023 / Approved: 31 July 2023 / Online: 31 July 2023 (04:59:36 CEST)
Version 3 : Received: 13 August 2023 / Approved: 14 August 2023 / Online: 14 August 2023 (10:04:48 CEST)
Version 4 : Received: 24 August 2023 / Approved: 25 August 2023 / Online: 25 August 2023 (08:49:43 CEST)
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Version 6 : Received: 6 December 2023 / Approved: 7 December 2023 / Online: 7 December 2023 (12:19:06 CET)
Version 7 : Received: 24 February 2024 / Approved: 27 February 2024 / Online: 27 February 2024 (08:03:44 CET)
Version 8 : Received: 24 March 2024 / Approved: 25 March 2024 / Online: 26 March 2024 (08:22:30 CET)
Version 9 : Received: 17 April 2024 / Approved: 18 April 2024 / Online: 18 April 2024 (14:04:58 CEST)
Version 10 : Received: 13 June 2024 / Approved: 14 June 2024 / Online: 14 June 2024 (13:42:43 CEST)
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Version 12 : Received: 20 October 2024 / Approved: 21 October 2024 / Online: 22 October 2024 (08:31:34 CEST)

How to cite: Gibbons, M. Energy Renormalization in a Berry Geometrical Phase: Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap. Preprints 2023, 2023071051. https://doi.org/10.20944/preprints202307.1051.v9 Gibbons, M. Energy Renormalization in a Berry Geometrical Phase: Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap. Preprints 2023, 2023071051. https://doi.org/10.20944/preprints202307.1051.v9

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 and a penetration depth for a macro-scale dual superconductor. The coherence length determines non-extensive volume changes whilst its inverse gives the Higgs mass. The penetration depth determines the extent of QCD vacuum suppression whilst its inverse gives the vector boson mass together with indirect manifestation as non-additive hyperbolic curvature. Simultaneous emergence of the Ginzburg-Landau superconducting phase transition is consistent with gauge-invariant coupling of the scalar field 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 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.

Keywords

Berry geometrical phase; dual superconductivity; scale- and gauge-invariance; hyperbolic curvature; strong gravity; renormalization; QCD mass gap

Subject

Physical Sciences, Particle and Field Physics

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