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The asymptotic behavior of Yang-Mills fields in the large. (English) Zbl 0767.53057

The paper is dealing with Yang-Mills equations \(F^{;\beta}_{\alpha\beta}=0\), \(^*F^{;\beta}_{\alpha\beta}=0\) in Minkowski space-time. Questions concerning global solutions in \(H^ s\) or global large solutions in the weighted Sobolev spaces \(H^{s,\delta}\) have already been known. Here, solutions corresponding to dipole-type Cauchy data are investigated. In particular, among other things, it is proved that all spherically symmetric solutions in the canonical gauge decay in time, if the initial data have finite conformal energy.

MSC:

53Z05 Applications of differential geometry to physics
53C05 Connections (general theory)
81T13 Yang-Mills and other gauge theories in quantum field theory
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