"Massive" vector field in de Sitter space

J-P. Gazeau; M.V. Takook

"Massive" vector field in de Sitter space

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arxiv gr-qc/9912080 v1 pith:YJCR5XKF submitted 1999-12-19 gr-qc

J-P. Gazeau , M.V. Takook This is my paper · ORCID

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keywords fieldsitterspacevectormassivealphaanalyticityapproach

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abstract

We present in this paper a covariant quantization of the ``massive'' vector field on de Sitter (dS) space based on analyticity in the complexified pseudo-Riemanian manifold. The correspondence between unitary irreducible representations of the de Sitter group and the field theory on de Sitter space-time is essential in our approach. We introduce the Wightman-G\"arding axiomatic for vector field on dS space. The Hilbert space structure and the unsmeared field operators $K_\alpha(x)$ are also defined. This work is in the direct continuation of previous one concerning the scalar and the spinor cases.

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A discrete series gauge field at the late-time boundary of $dS_4$
hep-th 2026-07 accept novelty 6.0 of 10

Both Δ=1 and Δ=2 late-time Maxwell operators on planar dS4 furnish the photon unitary discrete series of SO(4,1), which splits into opposite-helicity summands via self-dual field-strength sectors.

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