Conformally covariant quantization of Maxwell field in de Sitter space

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.

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

References in corpus (4)

• A Maximally Symmetric Vector Propagator
• "Massless" vector field in de Sitter Universe
• Conformally related massless fields in dS, AdS and Minkowski spaces
• Revisiting the conformal invariance of the scalar field: from Minkowski space to de Sitter space

Cited by in corpus (11)

• Nonperturbative infrared enhancement of nonGaussian correlators in de Sitter space
• Tensors and Spinors in de Sitter Space
• Quantum Field Theory in de Sitter Universe: Ambient Space Formalism
• Conformal use of retarded Green's functions for the Maxwell field in de Sitter space
• Constructing conformally invariant equations by using Weyl geometry
• Conformal invariance: from Weyl to SO(2,d)
• Two-point function for the Maxwell field in flat Robertson-Walker spacetimes
• Conformally invariant formalism for the electromagnetic field with currents in Robertson-Walker spaces
• On exact solutions for quantum particles with spin S= 0, 1/2, 1 and de Sitter event horizon
• SO(2,4)-covariant quantization of the Maxwell field in a conformally flat space
• FLRW embeddings in ${\mathbb{R}}^{n+2}$, differential geometry and conformal photon propagator