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Conformally covariant quantization of the Maxwell field in de Sitter space

By S. Faci, E. Huguet, J. Queva and J. Renaud

Abstract

v2 is is the definitive (improved compare to v1) versionInternational audienceIn 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

Topics: Quantum field theory in curved spacetime, Mathematical and relativistic aspects of cosmology, [ PHYS.GRQC ] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
Publisher: American Physical Society
Year: 2009
DOI identifier: 10.1103/PHYSREVD.80.124005
OAI identifier: oai:HAL:hal-00730862v1
Provided by: Hal-Diderot
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