A ${\bf Z}_2$ Origin for B+L Violation in the Hot Electroweak Theory

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The space of static finite-energy configurations of the electroweak theory admits a ${\bf Z}_{2}$ topological structure. Odd-parity configurations with odd pure-gauge behavior at spatial infinity (S sphaleron, W-Z strings, multisphalerons) mediate rapid $B+L$ violation in the Early Universe. Configurations with even pure-gauge behavior (S$^{*}$ sphalerons, W-Z strings, multisphalerons) are trivial and topologically equivalent to the vacuum.
Invited talk at the HEP95 EPS meeting in Brussels. 2 pages, latex

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