Abstract

The vacuum structure with a non-trivial winding number (the baryon number) of a quantum nonlinear σ-model is investigated. Some falling paths to the vacuum are found in a finite-dimensional subspace of the infinite-dimensional configuration space. It is also shown by numerical calculation that the anti-baryon density is appeared in the outer region on the way of some paths falling into the vacuum. In addition, we also discuss some configurations without hedgehog ansatz.

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