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"Massive" vector field in de Sitter space

J-P. Gazeau, M. V. Takook

gr-qcarXiv:gr-qc/9912080

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 Kα(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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