Using a new vector potential extraction approach based on angular momentum algebra, the authors derive a general ansatz and obtain a complete classification of static source-free SU(2) Yang-Mills solutions, including new real and complex families.
We need ⃗∇ × ⃗B−i g ℏc h φ, ⃗E i + ⃗A× ⃗B+ ⃗B× ⃗A = 0 (416) For the vector identity, due to symmetry, we only need to verify thez-component
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General Static Solutions of the SU(2) Yang-Mills Equations from a Spin Vector Potential
Using a new vector potential extraction approach based on angular momentum algebra, the authors derive a general ansatz and obtain a complete classification of static source-free SU(2) Yang-Mills solutions, including new real and complex families.