Quantum cosmological Friedman models with a massive Yang-Mills field

Details Quantum cosmological Friedman models with a massive Yang-Mills field Quantum cosmological Friedman models with a massive Yang-Mills field

2009-03-09

arxiv.org/abs/0903.1370v3

Class.Quant.Grav.26:135013,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, v3: typos corrected, final version, to appear in CQG

Scientific paper

10.1088/0264-9381/26/13/135013

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.

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