Abstract
We construct a new Yang-Mills 3D-solution on the space of negative scalar curvature. We discuss a problem of non-abelian gauge symmetry is broken with the assumption that a scalar curvature of the domain is a negative small parameter. In this case we use the following fact: a geometrical scale related with Vassiliev's discriminant of magnetic lines coincides with a phisical Kolmogorov scale. This gives an estimation of α-effect by the dispersion of the asymptotic ergodic Hopf invariant in the asymptotic limit with a negative scalar curvature parameter.
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