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Classical Yang-Mills theory in the presence of external sourcesby: P. Sikivie, N. Weiss
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AbstractWe study in detail the classical Yang-Mills field equations in the presence of static external sources. Their formulation as an initial-value problem in the A 0 =0 gauge provides us with a powerful tool for determining the existence of new solutions. In the case of point sources; the only static solutions known so far are the various Coulomb solutions which we classify according to their total energy and isospin. In the case of a localized but extended source; there are; besides the well-known Coulomb solution; two new types of solutions: the "magnetic dipole" solution which has the long-range behavior of a magnetic dipole field and which has lower energy than the Coulomb solution when the total external charge is large enough; and the "total screening" solution which has no long-range field strengths at all and which can have an arbitrarily low energy. We present a detailed study of these new solutions.
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