| Note: There appears to be a serious error in this paper, in Theorem 1: a field A which is a critical point (or extremiser) for the Yang-Mills functional when restricted to a special subclass of fields, is not necessarily a critical point for the functional for all fields, and in particular is not necessarily a solution to the Yang-Mills equation.
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| Note 2): There is no error. The class of Smilga's solutions are common both to Yang-Mills equations and scalar field theory and grants an extremum for both. This has been proved in [http://arxiv.org/abs/0903.2357 arxiv:0903.2357 [math-ph]]. For all other cases, solutions are common solutions in the limit <math>g\rightarrow\infty</math>, being <math>g</math> the coupling constant. This is all one needs for low-energy analysis of Yang-Mills theory. This paper will appear shortly on Modern Physics Letters A.
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