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

Felix Finster·Joel Smoller·Shing-Tung Yau
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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.

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Felix Finster, Joel Smoller, Shing-Tung Yau. 2000-08-02. The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Bound States. https://doi.org/10.1016/s0550-3213(00)00370-9

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