Quantum cosmological Friedman models with a Yang-Mills field and positive energy levels

Abstract

We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a Yang-Mills field, with or without mass term, if the spatial geometry of the underlying spacetime is homothetic to $\mathbb{R}[3]$. The energy levels of the resulting quantum model, i.e., the eigenvalues of the corresponding self-adjoint Hamiltonian with a pure point spectrum, are strictly positive.

9 pages, v3: minor corrections to bring it in line with the published version

References in corpus (2)

• Quantum cosmological Friedman models with an initial singularity
• Quantum cosmological Friedman models with a massive Yang-Mills field

Cited by in corpus (1)

• Combining gravity with the forces of the standard model on a cosmological scale