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arXiv · gr-qc/9912080

"Massive" vector field in de Sitter space

J-P. Gazeau·M. V. Takook
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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-Gärding axiomatic for vector field on dS space. The Hilbert space structure and the unsmeared field operators $K_α(x)$ are also defined. This work is in the direct continuation of previous one concerning the scalar and the spinor cases.

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J-P. Gazeau, M. V. Takook. 1999-12-19. "Massive" vector field in de Sitter space. https://doi.org/10.1063/1.1287641

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