Lattice Gauge Theory and Quantum Simulation of Discretized Gauge Fields — E8 Intelligence Research

FINDING: Lattice gauge theory (LatticeQCD) and quantum simulation of gauge fields — computational discretization of continuous gauge symmetries onto discrete spacetime lattices. | MATH: Lattice discretization of Yang-Mills action \( S = β/N ∑plaquettes Re Tr(1 - Uμν) \), with \( β = 2N/g^2 \) (Wilson action); heavy-quark masses via Fermilab method combine lattice perturbation theory with one-loop matching; gauge group \( SU(3) \) for QCD, \( SU(2) \) for 2+1D models; lattice spacing \( a \) as UV cutoff, continuum limit \( a → 0 \). | CONNECTION: Lattice structures are crystallographic in nature — hypercubic \( Z^4 \) lattices, root systems of \( SU(N) \) (e.g., \( A_3 \) for \( SU(4) \), \( A_2 \) for \( SU(3) \)); plaquette action mirrors discrete curvature; no direct golden-ratio or base-60 constants appear, but the lattice itself is a discrete symmetry group (translation group \( Z^d \)) — a fundamental geometri Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com