Exact Schwarzschild-Like Solution for Yang-Mills Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages LaTeX

Scientific paper

10.1103/PhysRevD.51.5911

Drawing on the parallel between general relativity and Yang-Mills theory we obtain an exact Schwarzschild-like solution for SU(2) gauge fields coupled to a massless scalar field. Pushing the analogy further we speculate that this classical solution to the Yang-Mills equations shows confinement in the same way that particles become confined once they pass the event horizon of the Schwarzschild solution. Two special cases of the solution are considered.

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