Lattice Gauge Theory Enables Non-Perturbative QCD Mass Calculations — E8 Intelligence Research

FINDING: Lattice gauge theory computationally discretizes continuous gauge fields onto a spacetime grid, enabling non-perturbative QCD calculations (e.g., heavy-quark masses) via path-integral Monte Carlo. | MATH: Wilson action \( S_G = β ∑plaquettes (1 - 1/N_c Re Tr\, Uμν ) \), with \( β = 2N_c/g^2 \); quark masses extracted from meson correlators \( C(t) ∝ e-m_H t \); Fermilab method uses clover-improved Wilson fermions with \( O(a) \) improvement coefficient \( cSW \). | CONNECTION: The lattice itself is a hypercubic grid — a 4D crystallographic lattice with \( D_4 \) (hypercubic) root system symmetry. The plaquette term embodies the smallest Wilson loop, a discrete holonomy — a geometric parallel transport around a unit square, echoing the curvature 2-form \( Fμν \) in the continuum limit \( a → 0 \). The ratio \( m_H / ΛQCD \) is scale-invariant; no golden-ratio constants appear in the cited Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com