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Phys. Rev. D 65, 084035 (2002) [5 pages]

Yang-Mills solutions on Euclidean Schwarzschild space

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Bayram Tekin*
Department of Physics, Brandeis University, Waltham, Massachusetts 02454

Received 9 January 2002; published 8 April 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.084035
DOI:
10.1103/PhysRevD.65.084035
PACS:
04.62.+v

*Email address: tekin@brandeis.edu