Yang-Mills Solutions on Euclidean Schwarzschild Space

Details Yang-Mills Solutions on Euclidean Schwarzschild Space Yang-Mills Solutions on Euclidean Schwarzschild Space

2002-01-08

arxiv.org/abs/hep-th/0201050v2

Phys.Rev. D65 (2002) 084035

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, references added, version to appear in PRD

Scientific paper

10.1103/PhysRevD.65.084035

We show that the apparently periodic Charap-Duff Yang-Mills `instantons' in time-compactified Euclidean Schwarzschild space are actually time independent. For these solutions, the Yang-Mills potential is constant along the time direction (no barrier) and therefore, there is no tunneling. We also demonstrate that the solutions found to date are three dimensional monopoles and dyons. We conjecture that there are no time-dependent solutions in the Euclidean Schwarzschild background.

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