A y-dependent rotated Pauli ansatz reduces SU(2) Yang-Mills to algebraic constraints that admit three families of exact waves: Abelian-like linear waves, nonlinear waves with constant color-electric offset, and pure-gauge solutions.
’t Hooft,Magnetic monopoles in unified gauge theo- ries, Nucl
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Exact SU(2) Yang-Mills Waves from a Simple Ansatz
A y-dependent rotated Pauli ansatz reduces SU(2) Yang-Mills to algebraic constraints that admit three families of exact waves: Abelian-like linear waves, nonlinear waves with constant color-electric offset, and pure-gauge solutions.