Quantization of massless fields over the static Robertson-Walker space of constant negative curvature

Details Quantization of massless fields over the static Robertson-Walker space of constant negative curvature Quantization of massless fields over the static Robertson-Walker space of constant negative curvature

2000-09-13

arxiv.org/abs/gr-qc/0009048v2

Class.Quant.Grav. 18 (2001) 2905-2916

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, LATEX, using ioplppt.sty and iopfts.sty. v.2: discussion with a lot of references is added. To appear in CQG

Scientific paper

10.1088/0264-9381/18/15/306

Taking the ${\Bbb R}^1 \times H^3$ space as an example, we develop the new method of quantization of fields over symmetric spaces. We construct the quantized massless fields of an arbitrary spin over the ${\Bbb R}^1 \times H^3$ space by the resolution over the systems of "plane waves" which are solutions of the corresponding wave equations. The propagators of these fields are ${\Bbb R}^1 \times SO(3,1)$-invariant and causal. For spin 0 and 1/2 fields the propagators are obtained in the explicit form.

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