Lattice Gauge Theory: Non-Perturbative Framework for Extracting Heavy-Quark Masses — E8 Intelligence Research

FINDING: Lattice gauge theory provides a non-perturbative, discrete computational framework for quantum field theories (QCD, electromagnetism), enabling numerical extraction of fundamental parameters like heavy-quark masses via lattice perturbation theory. | MATH: Lattice regularization replaces continuous spacetime with a hypercubic lattice (spacing \(a\)); gauge fields \(U_\mu(x) = e^{i a g A_\mu(x)}\) (link variables, \(SU(3)\) for QCD); Wilson action \(S_W = \beta \sum_{\text{plaquettes}} \left(1 - \frac{1}{N} \text{Re Tr}\, U_P \right)\), \(\beta = 2N/g^2\); heavy-quark mass extraction via meson mass combinations \(M_{H_s} = m_h + m_s + E_{\text{binding}}\) with one-loop lattice perturbation theory corrections (arXiv:0710.4339). | CONNECTION: The hypercubic lattice is a discrete subgroup of the Euclidean group — its symmetry group is the hyperoctahedral group \(B_4\) (order 384), a crystallographic point group. The plaquette action embodies the smallest closed loop (square) — a 4- Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com