zeta function technique for quantum cosmology: The contributions of matter fields to the Hartle-Hawking wave function of the universe
199234 pages
Published in:
- Int.J.Mod.Phys.A 7 (1992) 3713-3746
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Abstract: (WSP)
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.- astrophysics: wave function
- space-time: de Sitter
- regularization: zeta function
- field theory: scalar
- field theory: graviton
- electromagnetic field
- field theory: spinor
- spinor: field theory
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