The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Bound States
General Relativity and Quantum Cosmology
2010-11-19 v2 High Energy Physics - Theory
Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.gr-qc/0001067,
title = {The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Bound States},
author = {Felix Finster and Joel Smoller and Shing-Tung Yau},
journal= {arXiv preprint arXiv:gr-qc/0001067},
year = {2010}
}
Comments
28 pages, 21 figures (published version)