What question did this study set out to answer?

The aim is to derive the QCD confinement scale Λ_QCD using BCT vacuum geometry and theta-function decomposition.

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March 10, 2026Open Access

BCT Letter 22: The QCD Confinement Scale from BCT Vacuum Geometry — ΛQCD from the D4 Theta-Function Decomposition

Key Points

The aim is to derive the QCD confinement scale Λ_QCD using BCT vacuum geometry and theta-function decomposition.
Utilized BCT vacuum geometry
Applied D4 theta-function decomposition
Analyzed S_QCD = S_D4(1 − r_tet + α0/2)
Derived Λ_QCD = 220.44 MeV
Agreed with PDG value to +0.200%
1 prediction contributed to the BCT program's total of 96 sub-1% predictions

Abstract

We derive the QCD confinement scale ΛQCD = 220. 44 MeV from BCT vacuum geometry via the D4 theta- function decomposition SQCD = SD4 (1 − rₜet + α0/2). The result agrees with the PDG value to +0. 200% (Prediction #96), using zero free parameters. The BCT programme now counts 96 sub-1% predictions.

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Cite This Study

Michel Robert Cabrié (Sun,) studied this question.

synapsesocial.com/papers/69af95cf70916d39fea4dc7c https://doi.org/https://doi.org/10.5281/zenodo.18906377