On a Quantum Universe Filled with Yang - Mills Radiation

Abstract

We investigate the properties of a quantum Robertson - Walker universe described by the Wheeler -- DeWitt equation. The universe is filled with a quantum Yang -- Mills uniform field. This is then a quantum mini copy of the standard model of our universe. We discuss the interpretation of the Wheeler -- DeWitt wave function using the correspondence principle to connect $|\psi {|}^2$ for large quantum numbers to the classical probability for a radiation dominated universe. This can be done in any temporal gauge. The correspondence principle determines the Schrödinger representation of the momentum associated to the gravitational degree of freedom. We also discuss the measure in the mini--superspace needed to ensure invariance of the quantum description under change of the temporal gauge. Finally, we examine the behaviour of $|\psi {|}^2$ in inflationary conditions.

12 pages, PLAIN-TEX, Report: DFTT 23/93

Cited by in corpus (7)

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• Mirror QCD and Cosmological Constant
• Quantum Yang--Mills Dark Energy
• Quantum Hamilton-Jacobi cosmology and classical-quantum correlation
• Quantum cosmological Friedman models with a massive Yang-Mills field
• A Schrodinger Equation for Quantum Universes