Anomalous fermion production in gravitational collapse
May, 199312 pages
Published in:
- Phys.Lett.B 314 (1993) 13-20
e-Print:
- gr-qc/9305018 [gr-qc]
Report number:
- DAMTP-R-93-14
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Abstract: (Elsevier)
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 s-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.- gravitation
- Einstein equation
- gauge field theory: Yang-Mills
- Dirac equation: solution
- fermion: zero mode
- fermion: production
- production: fermion
- partial wave
- Higgs model
- black hole: hair
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