Abstract

We study the instanton in the nonlinear two-dimensional < or = model and show that it can be interpreted, in Minkowski space, as a tunneling process through a potential barrier between two vacuums. In this case the process carries nontrivial winding number. We then show, using this interpretation, that the sigma-model vacuum is nevertheless unique by demonstrating that two such vacuums may also be connected by processes that carry zero winding number and which do not require tunneling through a barrier. Some geometrical aspects of instanton solutions are also given.

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