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</script>pmid: 9959165
We investigate the semiclassical quantum cosmology of the spatially homogeneous k = +1 Friedmann-Robertson-Walker minisuperspace model with the electromagnetic field included as a small perturbation on the gravitational background. The wave function is chosen adopting the Hartle-Hawking proposal. Owing to conformal invariance, the electromagnetic field remains in its ground state for all times. At small three-geometries the field contributes to the semiclassical prefactor of the wave function a factor of a/sup zeta//sup (0)/, where a is the scale factor and zeta(0) = -(77/180 is the value at zero of the associated generalized zeta function. The semiclassical expansion of the Wheeler-DeWitt equation acquires in the next-to-leading order a divergent sum of the same kind as the corresponding sums coming from fields of spin 0, (1/2, and 2. This suggests that the semiclassical expansion of the analogue of the Wheeler-DeWitt equation might be naturally finite to the next-to-leading order in a theory containing symmetries between fields of different spins.
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