The ground-state wavefunction of a radiation-dominated universe

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Abstract
The authors propose a minisuperspace construction of the ground-state (no boundary) wavefunction for a radiation-dominated universe. As in the case of a free massless conformally invariant scalar field discussed by Hartle and Hawking (1983), the functional integrations over the gravitational and gauge fields can be performed independently. The gauge part of the wavefunction is semiclassically computed with the help of the (anti-)selfdual solutions of the Euclideanized SO(4)-symmetric Einstein-Yang-Mills (EYM) systems. Implications of their construction are discussed.

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