Condition of Self-Duality for SU(2) Gauge Fields on Euclidean Four-Dimensional Space
The condition of self-duality for a SU(2) gauge field on Euclidean four-dimensional flat space is integrated once to obtain Laplace-like equations for three real variables or for variables one real and one complex. A special case of the latter reduces to the CarriganFairlie–Wilczek–'t Hooft Ansatz.