Abstract

We discuss the interactions between widely separated instantons (but not instantons and anti-instantons) due to the one-loop fluctuations in a non-Abelian gauge theory. A slightly generalized version of the recent calculation of Brown and Creamer for the one-loop determinant about an exact self-dual solution is used as a starting point. An apparently dangerous 1/r/sup 2/ interaction is found to disappear with the proper parametrization of the exact solution. As a by-product of our procedure, we develop a more precise understanding of the relation between exact solutions of topological charge k and the superposition of k instantons. In particular, the meaning of the parameters of the Jackiw-Nohl-Rebbi k = 2 solution is understood in these terms.

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