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Equations of motion of low-energy effective theories of quantumelectrodynamics include infinitely many interaction terms, which make themdifficult to solve. The self-duality property has facilitated research on thesolutions to these equations. In this paper, equations of motion of systems ofnon-Abelian gauge fields on even-dimensional spheres are considered. It isdemonstrated that the Cremmer-Scherk configuration, which satisfies certaingeneralized self-duality equations, becomes the classical solution for theclass of systems that are given by arbitrary functions of class C^1 of 2m+1quantities. For instance, Lagrangians consisting of multi-trace terms areincluded in this class. This result is likely to generate several new andinteresting directions of research, including the classification of actionswith respect to the stability condition against the Cremmer-Scherkconfiguration.

Equations of Motion Solved by the Cremmer-Scherk Configuration on Even-Dimensional Spheres