Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Recurso digital |
| Idioma: | inglés |
| Publicado: |
Zenodo
2026
|
| Subjects: | |
| Acceso en liña: | https://doi.org/10.5281/zenodo.20384885 |
| Tags: |
Engadir etiqueta
Sen Etiquetas, Sexa o primeiro en etiquetar este rexistro!
|
Table of Contents:
- <p class="p1">The companion paper on glueball masses established the universal formula m<span class="s1">dressed</span></p> <p class="p2">N <span class="s2">=</span></p> <p class="p1">(2N−1)Λ<span class="s1">QCD </span>for N-body pure-gauge Fock states on the TCH gauge web, with confirmed</p> <p class="p1">predictions for the 0<span class="s1">++ </span>scalar (1660 MeV) and 2<span class="s1">++ </span>tensor (2324 MeV) glueballs. The</p> <p class="p1">substrate-level Feshbach decay width, however, exhibits a 1/ϵregulator dependence indicat-</p> <p class="p1">ing that the discrete 208-state Q-spectrum is a step-function approximation to a smooth con-</p> <p class="p1">tinuum. Direct diagonalisation of the local Q-matrix reveals four exactly-degenerate eigen-</p> <p class="p1">states sitting rigidly at 1Λ<span class="s1">QCD </span>(corresponding to the four vertices of a single C<span class="s1">4 </span>plaquette,</p> <p class="p1">each hosting a single-parity-violation transition). Combined with strong-coupling thresh-</p> <p class="p1">old pinning of the dressed pole, this yields the Threshold Bound State Theorem: restricted</p> <p class="p1">to the local Hilbert space of a single TCH unit cell, the substrate-level glueball tree-level</p> <p class="p1">decay width is identically zero. The empirically observed scalar-glueball width∼100–300</p> <p class="p1">MeV must therefore arise entirely from non-local macroscopic spatial routing: virtual q¯</p> <p class="p1">q</p> <p class="p1">¯</p> <p class="p1">pairs propagating across multiple TCH cells before hadronising into asymptotic ππ/ηη/K</p> <p class="p1">K</p> <p class="p1">continua. The physical decay is intrinsically non-local in spacetime, not merely strongly-</p> <p class="p1">mixed in Hilbert space. We formalise the macroscopic routing programme as Brillouin-</p> <p class="p1">zone integration of the momentum-dependent walk operator W<span class="s1">QQ</span>(k) over the simple-cubic</p> <p class="p1">gauge web, derive phenomenological consequences (scalar-tensor width hierarchy via D-wave</p> <p class="p1">angular-momentum suppression, structural explanation of f<span class="s1">0</span>-manifold mixing), and identify</p> <p class="p1">two falsifiable signatures distinguishing the framework from standard local-vertex glueball</p> <p class="p1">treatments: anomalous lattice-volume scaling of glueball widths, and production-decay cor-</p> <p class="p1">relations in J/ψ→γG→γππ.</p>