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Infinitely many conservation laws in self-dual Yang-Mills theory
2008
Journal of High Energy Physics
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Using a nonlocal field transformation for the gauge field known as Cho--Faddeev--Niemi--Shabanov decomposition as well as ideas taken from generalized integrability, we derive a new family of infinitely many conserved currents in the self-dual sector of SU(2) Yang-Mills theory. These currents may be related to the area preserving diffeomorphisms on the reduced target space. The calculations are performed in a completely covariant manner and, therefore, can be applied to the self-dual equations
doi:10.1088/1126-6708/2008/09/014
fatcat:6t35nl7clbdetf2sltcav22tme