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

摘要

Taking the R-1 x 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 R-1 x 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 (R)1 x SO (3, 1) -invariant and causal. For spin-0 and spin-1/2 fields the propagators are obtained in an explicit form. [References: 23]