Conformally covariant quantization of Maxwell field in de Sitter space

Details Conformally covariant quantization of Maxwell field in de Sitter space Conformally covariant quantization of Maxwell field in de Sitter space

2009-10-07

arxiv.org/abs/0910.1279v2

Phys.Rev.D80:124005,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

v2 is is the definitive (improved compare to v1) version

Scientific paper

10.1103/PhysRevD.80.124005

In this article, we quantize the Maxwell ("massless spin one") de Sitter field in a conformally invariant gauge. This quantization is invariant under the SO$_0(2,4)$ group and consequently under the de Sitter group. We obtain a new de Sitter invariant two-points function which is very simple. Our method relies on the one hand on a geometrical point of view which uses the realization of Minkowski, de Sitter and anti-de Sitter spaces as intersections of the null cone in $\setR^6$ and a moving plane, and on the other hand on a canonical quantization scheme of the Gupta-Bleuler type.

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