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Physical Review D 80 (2009) 124005
Conformally covariant quantization of the Maxwell field in de Sitter space
S. Faci1, E. Huguet1, J. Queva1, J. Renaud1

In this article, we quantize the Maxwell ("massless spin one") de Sitter field in a conformally invariant gauge. This quantization is invariant under the SO0(2,4) group and consequently under the de Sitter group. We obtain a new de Sitter-invariant two-point 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 R6 and a moving plane, and on the other hand on a canonical quantization scheme of the Gupta-Bleuler type.
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
Physique/Relativité Générale et Cosmologie Quantique
Quantum field theory in curved spacetime – Mathematical and relativistic aspects of cosmology
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