Quantum Cosmology with Yang-Mills Fields

Details Quantum Cosmology with Yang-Mills Fields Quantum Cosmology with Yang-Mills Fields

1994-03-22

arxiv.org/abs/hep-th/9403131v1

Nucl.Phys.B433:435-466,1995

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, ENSLAPP-A-434/93, TUM-TH-160/93, NTUA 43/93

Scientific paper

10.1016/0550-3213(94)00441-G

We examine an extension of the ideas of quantum cosmology and, in particular, the proposal of Hartle and Hawking for the boundary conditions of the Universe, to models which incorporate Yang-Mills fields. Inhomogeneous perturbations about a homogeneous, isotropic minisuperspace background model are considered, by expanding the Yang-Mills fields in harmonics of the spatial directions which are taken to be three-spheres. The expansions are made explicit for $SO(N)$ gauge fields thereby obtaining formulae compatible with the formalism conventionally used in quantum cosmology. We apply these results to the gauge group $SO(3)$ and derive the Lagrangian and the semi-classical wave function for this special case.

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