Lattice Gauge Theory Enables Non-Perturbative QCD Calculations via Discrete Path Integrals — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Lattice gauge theory provides a discrete, computationally tractable formulation of quantum field theory, enabling non-perturbative QCD calculations (e.g., heavy-quark masses) via path integrals on a spacetime grid. | MATH: Lattice action S = β ∑□ (1 − 1/N Re Tr U□ ), with β = 2N/g2 (Wilson action); link variables Uμ(x) ∈ SU(N); continuum limit a → 0 with renormalized coupling g2(a) ∼ 1/log(1/aΛ) (asymptotic freedom). Heavy-quark mass extraction uses ratios of meson masses MHs and lattice perturbation theory at one loop. | CONNECTION: The lattice itself is a hypercubic grid — a discrete subgroup of the translation group, related to crystallographic point groups (e.g., cubic Oh symmetry). The Wilson action's plaquette term is the smallest closed loop, echoing the fundamental cycles of a cell complex. No direct golden-ratio or base-60 constants appear; the s
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 Gauge Theory Enables Non-Perturbative QCD Calculations via Discrete Path Integrals — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23525978},
url = {https://zenodo.org/records/23525978},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Lattice Gauge Theory Enables Non-Perturbative QCD Calculations via Discrete Path Integrals — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23525978
UR - https://zenodo.org/records/23525978
AB - FINDING: Lattice gauge theory provides a discrete, computationally tractable formulation of quantum field theory, enabling non-perturbative QCD calculations (e.g., heavy-quark masses) via path integrals on a spacetime grid. | MATH: Lattice action S = β ∑_□ (1 − 1/N Re Tr U_□ ), with β = 2N/g^2 (Wilson action); link variables U_μ(x) ∈ SU(N); continuum limit a → 0 with renormalized coupling g^2(a) ∼ 1/log(1/aΛ) (asymptotic freedom). Heavy-quark mass extraction uses ratios of meson masses M_H_s and lattice perturbation theory at one loop. | CONNECTION: The lattice itself is a hypercubic grid — a discrete subgroup of the translation group, related to crystallographic point groups (e.g., cubic O_h symmetry). The Wilson action's plaquette term is the smallest closed loop, echoing the fundamental cycles of a cell complex. No direct golden-ratio or base-60 constants appear; the s Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -