Lattice Gauge Theory Enables Non-Perturbative QCD Calculations via Discrete Path-Integral Monte Carlo — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Lattice gauge theory provides a discrete, computationally tractable formulation of continuous gauge symmetries, enabling non-perturbative QCD calculations (e.g., heavy-quark masses) via path-integral Monte Carlo on a spacetime grid. | MATH: Gauge fields Aμ(x) → link variables Uμ(n) = ei a g Aμ(n+ aμ̂/2) ∈ SU(3); Wilson action SW = β ∑Box (1 − 1/3Re Tr UBox), β = 6/g2; heavy-quark mass mQ extracted from meson correlators C(t) ∼ e−mH t, with one-loop lattice perturbation theory corrections. | CONNECTION: The lattice itself is a hypercubic grid — a discrete subgroup of the translation group, breaking continuous rotational symmetry but preserving a crystallographic point group (hyperoctahedral group B4, order 384). The gauge group SU(3) contains root system A2 (hexagonal symmetry, angles 60° — base-60 heritage). No golden-ratio constants appear directly; the lattice sp
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-Integral Monte Carlo — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23554000},
url = {https://zenodo.org/records/23554000},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Lattice Gauge Theory Enables Non-Perturbative QCD Calculations via Discrete Path-Integral Monte Carlo — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23554000
UR - https://zenodo.org/records/23554000
AB - FINDING: Lattice gauge theory provides a discrete, computationally tractable formulation of continuous gauge symmetries, enabling non-perturbative QCD calculations (e.g., heavy-quark masses) via path-integral Monte Carlo on a spacetime grid. | MATH: Gauge fields A_μ(x) → link variables U_μ(n) = e^i a g A_μ(n+ aμ̂/2) ∈ SU(3); Wilson action S_W = β ∑_Box (1 − 1/3Re Tr U_Box), β = 6/g^2; heavy-quark mass m_Q extracted from meson correlators C(t) ∼ e^−m_H t, with one-loop lattice perturbation theory corrections. | CONNECTION: The lattice itself is a hypercubic grid — a discrete subgroup of the translation group, breaking continuous rotational symmetry but preserving a crystallographic point group (hyperoctahedral group B_4, order 384). The gauge group SU(3) contains root system A_2 (hexagonal symmetry, angles 60° — base-60 heritage). No golden-ratio constants appear directly; the lattice sp Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -