Tunneling Through Sphalerons: The O(3) Sigma-Model on a Cylinder

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We construct all instantons for the \nlsig\ on a cylinder, known not to exist on a finite time interval. We show that the widest instantons go through sphalerons. A re-interpretation of moduli-space transforms the scale parameter $ρ$ to a boundary condition in time. This may give a handle on the $ρ\rightarrow0$ divergent instanton gas.
10 pages, LaTeX, 1 figure appended (uuencoded), Leiden preprint INLO-PUB-5/94

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