Quantum cosmological Friedman models with a massive Yang-Mills field
arXiv:0903.1370 · doi:10.1088/0264-9381/26/13/135013
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.
16 pages, v3: typos corrected, final version, to appear in CQG