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Conformally covariant quantization of Maxwell field in de Sitter space (2009)

Abstract
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.. Comment: 12p,revtex4

Publication details
Download http://arxiv.org/abs/0910.1279
Repository arXiv (United States)
Keywords General Relativity and Quantum Cosmology
Type text