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)
Version 5
: Received: 1 November 2023 / Approved: 2 November 2023 / Online: 3 November 2023 (04:50:01 CET)
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)
Version 11
: Received: 23 August 2024 / Approved: 25 August 2024 / Online: 26 August 2024 (17:00:36 CEST)
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. Preprints2023, 2023071051. https://doi.org/10.20944/preprints202307.1051.v12
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.v12
Gibbons, M. Energy Renormalization in a Berry Geometrical Phase: Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap. Preprints2023, 2023071051. https://doi.org/10.20944/preprints202307.1051.v12
APA Style
Gibbons, M. (2024). Energy Renormalization in a Berry Geometrical Phase: Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap. Preprints. https://doi.org/10.20944/preprints202307.1051.v12
Chicago/Turabian Style
Gibbons, M. 2024 "Energy Renormalization in a Berry Geometrical Phase: Low-Energy Perturbations of the Strong Interaction and the QCD Mass Gap" Preprints. https://doi.org/10.20944/preprints202307.1051.v12
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.
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
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
