Anomalous Fermion Production in Gravitational Collapse
arXiv:gr-qc/9305018 · doi:10.1016/0370-2693(93)91315-E
Abstract
The Dirac equation is solved in the Einstein-Yang-Mills background found by Bartnik and McKinnon. We find a normalizable zero-energy fermion mode in the -wave sector. As shown recently, their solution corresponds to a gravitational sphaleron which mediates transitions between topologically distinct vacua. Since the Bartnik-McKinnon solution is unstable, it will either collapse to form a black hole or radiate away its energy. In either case, as the Chern-Simons number of the configuration changes, there will be an accompanying anomalous change in fermion number.
12 pages, preprint DAMTP93/R14
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