Paper CCXVII: QFT/QED/QCD from BCH G2 Paper CCXVII — QFT, QED, QCD from BCH G2: Gauge Group SU(3) × SU(2) × U(1) from G2 Subgroups

Key Points

• This research focuses on decomposing the Standard Model gauge group and understanding its structure through G2 subgroups.
• Analyzed the gauge group SU(3) × SU(2) × U(1) as derived from G2 subgroups.
• Applied BCH (Baker-Campbell-Hausdorff) techniques to explore QED and QCD interactions.
• Investigated properties like asymptotic freedom and parameter independence within the framework.
• Identified QED from the Abelian U(1) commutator through BCH order 2.
• Established QCD with non-Abelian SU(3) interactions utilizing BCH orders 3–4, focusing on 3- and 4-gluon vertices.
• Demonstrated zero free parameters, providing a strong theoretical foundation for the model.