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

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.

28 pages, 21 figures (published version)

References in corpus (3)

• Particle-Like Solutions of the Einstein-Dirac Equations
• Non-Existence of Time-Periodic Solutions of the Dirac Equation in a Reissner-Nordstrom Black Hole Background
• Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations

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• Self-gravitating nonlinear Dirac fields
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