New self-dual solutions of SU(2) Yang-Mills theory in Euclidean Schwarzschild space

Abstract

We present a systematic study of spherically symmetric self-dual solutions of SU(2) Yang-Mills theory on Euclidean Schwarzschild space. All the previously known solutions are recovered and a new one-parameter family of instantons is obtained. The newly found solutions have continuous actions and interpolate between the classic Charap and Duff instantons. We examine the physical properties of this family and show that it consists of dyons of unit (magnetic and electric) charge.

12 pages, 5 figures. To appear in Phys Rev D

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Cited by in corpus (4)

• Geodesic motion in Euclidean Schwarzschild geometry
• Cosmological models with gauge fields
• On the energy spectrum of Yang--Mills instantons over asymptotically locally flat spaces
• Particle dynamics in spherically symmetric electro-vacuum instantons