Interaction of Dirac Particles with
Non-Abelian Gauge Fields and Gravity:
Bound State and Black Hole Solutions


Joel Smoller

(University of Michigan)


Thursday, December 14, 2000


Talk at 4:30 p.m. in Science Center D

Tea at 4:00 p.m. in the Math Lounge


Abstract:   We consider a static, spherically symmetric system of a Dirac particle interacting with classical gravity and an SU(2) Yang/Mills field. We show that the correspnding Einstein-Dirac-Yang/Mills equations admit stable particle-like bound state solutions for arbitrarily weak gravitational coupling, and that every black hole solution has the property that the spinors (Dirac wave function), cannot be normalized, and in fact, must vanish identically outside of the event horizon. We discuss the implications of these results.

Home Web page:  Alexandru I. Suciu  Created: November 26, 2000   
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