Yang-Mills Solutions on Euclidean Schwarzschild Space

Abstract

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.

12 pages, references added, version to appear in PRD

References in corpus (6)

• Monopoles, Dyons and Black Holes in the Four-Dimensional Einstein-Yang-Mills Theory
• Geometric Interpretation of Schwarzschild Instantons
• Gravitating Instantons In 3 Dimensions
• Calorons in Weyl Gauge
• Multi-instantons in R^4 and Minimal Surfaces in R^{2,1}
• Non-Abelian Thermal Large Gauge Transformations in 2+1 Dimensions

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• Self-dual solutions of Yang-Mills theory on Euclidean AdS space
• New self-dual solutions of SU(2) Yang-Mills theory in Euclidean Schwarzschild space
• Particle dynamics in spherically symmetric electro-vacuum instantons
• Exact Multi-Instanton Solutions to Selfdual Yang-Mills Equation on Curved Spaces