What question did this study set out to answer?

Formulate non-perturbative quantum chromodynamics calculations by discretizing continuous spacetime symmetries onto a finite grid.

August 16, 2026Open Access

Lattice Gauge Theory: Discretizing QCD for Non-Perturbative Calculations — E8 Intelligence Research

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Authors

ACAndrew Stewart Caldin

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Implication

Theoretical framework demonstrates non-perturbative QCD calculations via discrete spacetime lattice path integrals, highlighting computational methods for heavy-quark mass extraction.

Key Points

Formulate non-perturbative quantum chromodynamics calculations by discretizing continuous spacetime symmetries onto a finite grid.
Discretized continuous SU(3) gauge symmetries onto a hypercubic lattice using the Wilson action.
Regularized ultraviolet divergences via finite lattice spacing and evaluated path integrals over finite grid points.
Extracted heavy-quark masses using one-loop perturbative matching to the continuum framework.
Path integral evaluations over discrete grid points enabled non-perturbative calculations within the SU(3) gauge group.
The hypercubic lattice structure established an octahedral point group symmetry as a discrete subgroup of continuous spatial rotations.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a817aa1f2fb91fc834aea62 https://doi.org/10.5281/zenodo.21943021

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Implication

Theoretical framework demonstrates non-perturbative QCD calculations via discrete spacetime lattice path integrals, highlighting computational methods for heavy-quark mass extraction.

Lattice Gauge Theory: Discretizing QCD for Non-Perturbative Calculations — E8 Intelligence Research

Discussion

Member takes

Implication

Key Points

Cite This Study

Lattice Gauge Theory: Discretizing QCD for Non-Perturbative Calculations — E8 Intelligence Research

Discussion

Member takes

Implication

Key Points

Cite This Study

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