ζ-FUNCTION TECHNIQUE FOR QUANTUM COSMOLOGY: THE CONTRIBUTIONS OF MATTER FIELDS TO THE HARTLE-HAWKING WAVE FUNCTION OF THE UNIVERSE
- 30 June 1992
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics A
- Vol. 7 (16) , 3713-3746
- https://doi.org/10.1142/s0217751x92001654
Abstract
We investigate the contributions of matter fields to the Hartle-Hawking wave function of the Universe in the one-loop approximation. The values ζ(0), which describe the scaling behavior of the wave function calculated on the background representing the part of four-dimensional DeSitter sphere, are calculated for scalar, electromagnetic, graviton, spin-1/2 and spin-3/2 fields. The ζ-function technique is used and developed for these calculations. The obtained results can be applied to a detailed investigation of the structure of the Hartle-Hawking wave function.Keywords
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