"Massive" vector field in de Sitter space

Details "Massive" vector field in de Sitter space "Massive" vector field in de Sitter space

1999-12-19

arxiv.org/abs/gr-qc/9912080v1

J.Math.Phys. 41 (2000) 5920-5933; J.Math.Phys. 43 (2002) 6379

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

10.1063/1.1287641

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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