The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity-Bound States

Felix Finster, Jan Smoller, and Shing-Tung Yau

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Submission date: 29. Feb. 2000
Pages: 30
published in: Nuclear physics / B, 584 (2000) 1-2, p. 387-414 
DOI number (of the published article): 10.1016/S0550-3213(00)00370-9
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Abstract:
We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are derived. Using numerical methods, we find different types of soliton-like solutions of these equations and discuss their properties. Some of these solutions are stable even for arbitrarily weak gravitational coupling.