"Massive" vector field in de Sitter space

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 $K_{\alpha }(x)$ are also defined. This work is in the direct continuation of previous one concerning the scalar and the spinor cases.

15 pages

References in corpus (1)

• Gupta-Bleuler quantization for minimally coupled scalar fields in de Sitter space

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