Quantum cosmological Friedman models with a massive Yang-Mills field
General Relativity and Quantum Cosmology
2009-06-23 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a massive Yang-Mills field. The resolution is achieved by first solving the free eigenvalue problem for the gravitational field and then the constrained eigenvalue problem for the Yang-Mills field. In the latter case the mass of the Yang-Mills field assumes the role of the eigenvalue.
Cite
@article{arxiv.0903.1370,
title = {Quantum cosmological Friedman models with a massive Yang-Mills field},
author = {Claus Gerhardt},
journal= {arXiv preprint arXiv:0903.1370},
year = {2009}
}
Comments
16 pages, v3: typos corrected, final version, to appear in CQG