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19 April 2024
 
  » arxiv » gr-qc/0001067

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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 ;
Date 21 Dec 1999
Journal Nucl.Phys. B584 (2000) 387-414
Subject General Relativity and Quantum Cosmology; Mathematical Physics; Analysis of PDEs | gr-qc hep-th math-ph math.AP math.MP
AbstractWe 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.
Source arXiv, gr-qc/0001067
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