Lattice QCD: A Mature Framework for Non-Perturbative QCD and Heavy-Quark Mass Extraction — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Lattice gauge theory computation (LatticeQCD.jl, confinement lectures, heavy-quark mass extraction) — a mature numerical framework for non-perturbative QCD, not a new mathematical discovery. | MATH: Wilson action S = β ∑□ (1 − 1/N Re Tr U□ ), β = 2N/g2; heavy-quark mass via Fermilab action + staggered light quarks, one-loop lattice perturbation theory; confinement via area-law Wilson loop ⟨ W ⟩ ∼ e−σ A (string tension σ); lattice spacing a, dimensionless ratios amq, aMmeson. | CONNECTION: Lattice is a discrete hypercubic grid — a **crystallographic lattice** (Bravais type, cubic symmetry group Oh). Gauge links Uμ(x) ∈ SU(3) live on edges; plaquette traces encode curvature. No golden-ratio or base-60 constants appear. The only geometric harmony is the **root system of SU(3)** (hexagonal, A2 lattice) underlying the gauge group — but that i
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026lattice,
title = {{Lattice QCD: A Mature Framework for Non-Perturbative QCD and Heavy-Quark Mass Extraction — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23587008},
url = {https://zenodo.org/records/23587008},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Lattice QCD: A Mature Framework for Non-Perturbative QCD and Heavy-Quark Mass Extraction — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/23
PB - Zenodo
DO - 10.5281/zenodo.23587008
UR - https://zenodo.org/records/23587008
AB - FINDING: Lattice gauge theory computation (LatticeQCD.jl, confinement lectures, heavy-quark mass extraction) — a mature numerical framework for non-perturbative QCD, not a new mathematical discovery. | MATH: Wilson action S = β ∑_□ (1 − 1/N Re Tr U_□ ), β = 2N/g^2; heavy-quark mass via Fermilab action + staggered light quarks, one-loop lattice perturbation theory; confinement via area-law Wilson loop ⟨ W ⟩ ∼ e^−σ A (string tension σ); lattice spacing a, dimensionless ratios am_q, aM_meson. | CONNECTION: Lattice is a discrete hypercubic grid — a **crystallographic lattice** (Bravais type, cubic symmetry group O_h). Gauge links U_μ(x) ∈ SU(3) live on edges; plaquette traces encode curvature. No golden-ratio or base-60 constants appear. The only geometric harmony is the **root system of SU(3)** (hexagonal, A_2 lattice) underlying the gauge group — but that i Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -