On Yang-Mills instantons in a spherically symmetric backgroundY. Brihaye1 and E. Radu2
1 Physique-Mathématique, Université de Mons-Hainaut - Mons, Belgium
2 Department of Mathematical Physics, National University of Ireland Maynooth, Ireland
received 19 May 2006; accepted in final form 18 July 2006
published online 4 August 2006
We present arguments for the existence of self-dual Yang-Mills instantons for several spherically symmetric backgrounds with Euclidean signature. The time-independent Yang-Mills field has finite action and a vanishing energy momentum tensor and does not disturb the geometry. We conjecture the existence of similar solutions for any nonextremal SO(3)-spherically symmetric background.
12.10.-g - Unified field theories and models.
11.15.-q - Gauge field theories.
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