Lattice QCD, Conformal Field Theory, and Renormalization Group: A Triangulation — E8 Intelligence Research

FINDING: Lattice QCD and conformal field theory are linked through the renormalization group flow, where critical exponents define universality classes; the search results are pedagogical/technical talks, not a single new discovery, but they collectively affirm the CFT-RG-lattice triangulation. | MATH: No new equations extracted. Implicit: critical exponents (ν, η, ω) from lattice QCD at finite temperature/chiral transition; CFT central charge c and scaling dimensions Δ_i; RG beta function β(g) = μ dg/dμ; universality class fixed by symmetry + dimensionality (e.g., O(N) or SU(3) gauge). Lattice spacing a → 0 continuum limit; asqtad staggered action + clover fermions (from the B→Kll paper) — no numerical constants given. | CONNECTION: Direct geometric link: lattice QCD uses hypercubic lattices (Z⁴ symmetry) breaking continuous rotational symmetry; CFT at criticality restores conformal symmetry — the fixed point has full SO(4,2) (or SO(d,2)) invariance. The ratio 0.618/1.618 appears nowh Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-24
DOI
https://doi.org/10.5281/zenodo.23610181
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
preprint
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preprint

Lattice QCD, Conformal Field Theory, and Renormalization Group: A Triangulation — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
preprint

Lattice QCD, Conformal Field Theory, and Renormalization Group: A Triangulation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Lattice QCD and conformal field theory are linked through the renormalization group flow, where critical exponents define universality classes; the search results are pedagogical/technical talks, not a single new discovery, but they collectively affirm the CFT-RG-lattice triangulation. | MATH: No new equations extracted. Implicit: critical exponents (ν, η, ω) from lattice QCD at finite temperature/chiral transition; CFT central charge c and scaling dimensions Δ_i; RG beta function β(g) = μ dg/dμ; universality class fixed by symmetry + dimensionality (e.g., O(N) or SU(3) gauge). Lattice spacing a → 0 continuum limit; asqtad staggered action + clover fermions (from the B→Kll paper) — no numerical constants given. | CONNECTION: Direct geometric link: lattice QCD uses hypercubic lattices (Z⁴ symmetry) breaking continuous rotational symmetry; CFT at criticality restores conformal symmetry — the fixed point has full SO(4,2) (or SO(d,2)) invariance. The ratio 0.618/1.618 appears nowh Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
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