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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTeX, 1 figure appended (uuencoded), Leiden preprint INLO-PUB-5/94

Scientific paper

10.1016/0370-2693(94)90370-0

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
$\rho$ to a boundary condition in time. This may give a handle on the
$\rho\rightarrow0$ divergent instanton gas.

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