Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes: Two-point functions and renormalized stress-energy tensors

Abstract

By considering Hadamard vacuum states, we first construct the two-point functions associated with Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes. Then, from the general formalism developed in [A. Belokogne and A. Folacci, Phys. Rev. D \textbf{93}, 044063 (2016)], we obtain an exact analytical expression for the vacuum expectation value of the renormalized stress-energy tensor of the massive vector field propagating in these maximally symmetric spacetimes.

arXiv commentv2:Typos corrected. Minor changes to match the published version

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• The holographic Hadamard condition on asymptotically Anti-de Sitter spacetimes
• Photon propagator in de Sitter space in the general covariant gauge
• Green's functions and Hadamard parametrices for vector and tensor fields in general linear covariant gauges
• Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string
• Heat kernel coefficients for massive gravity
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• Scale and Conformal Invariance on (A)dS
• Photon propagator for inflation in the general covariant gauge
• Large-distance behaviour of the massless vector two-point function in de Sitter spacetime
• Hidden Conformal Symmetry of the Discrete Series Scalars in dS${}_2$
• Photon quantization in cosmological spaces
• Regularized stress tensor of vector fields in de Sitter space
• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
• Inflation and late time acceleration designed by Stueckelberg massive photon