Anomalous Fermion Production in Gravitational Collapse
广义相对论与量子宇宙学
2009-10-07 v1 高能物理 - 理论
摘要
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.
引用
@article{arxiv.gr-qc/9305018,
title = {Anomalous Fermion Production in Gravitational Collapse},
author = {G. W. Gibbons and Alan R. Steif},
journal= {arXiv preprint arXiv:gr-qc/9305018},
year = {2009}
}
备注
12 pages, preprint DAMTP93/R14