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arXiv · 0910.1279

Conformally covariant quantization of Maxwell field in de Sitter space

S. Faci·E. Huguet·J. Queva·J. Renaud
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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.

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S. Faci, E. Huguet, J. Queva, J. Renaud. 2010-01-06. Conformally covariant quantization of Maxwell field in de Sitter space. https://doi.org/10.1103/physrevd.80.124005

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