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

Abstract

Taking the ${\mathbb{R}}^1\times H^3$ 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 ${\mathbb{R}}^1\times H^3$ space by the resolution over the systems of "plane waves" which are solutions of the corresponding wave equations. The propagators of these fields are ${\mathbb{R}}^1\times SO(3,1)$-invariant and causal. For spin 0 and 1/2 fields the propagators are obtained in the explicit form.

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

References in corpus (10)

• Gupta-Bleuler quantization for minimally coupled scalar fields in de Sitter space
• The Hadamard Condition for Dirac Fields and Adiabatic States on Robertson-Walker Spacetimes
• "Massive" vector field in de Sitter space
• The Reeh-Schlieder Property for Quantum Fields on Stationary Spacetimes
• Spinor Parallel Propagator and Green's Function in Maximally Symmetric Spaces
• Massive spin 2 propagator on de Sitter space
• On the Particle Definition in the presence of Black Holes
• Quantization of Dirac fields in static spacetime
• Quantization of fields over de Sitter space by the method of generalized coherent states
• Massless fields over $R^1\times H^3$ space-time and coherent states for the Lorentz group