Computational Solution for the Double Well Nondilute Pair Configuration∗

We show numerically the existence and stability at coincidence of the nondilute, multi-instanton pair configuration in the (1+0)-dimensional, double well model, defined according to a theory presented elsewhere [1]. This follows up an earlier proof that the multi-instanton pair is an effective critical point of the classical action if it exists, and is stable if it is unique [2]. We do not prove numerical uniqueness, but find no indication of nonuniqueness. The coincident pair action has a minimum at coincidence which is a factor 0.82047 times the dilute pair action, which is the maximum, and we find no other local minimum. Work supported in part by the University of Michigan Computing Center and the U. S. Department of Energy. Copies of this document may be distributed without restriction as long as the content, including attributions, is unchanged. March 17, 2008: This LTEX version has only cosmetic changes from the original.