中文

"Massive" vector field in de Sitter space

广义相对论与量子宇宙学 2009-10-31 v1

摘要

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

关键词

引用

@article{arxiv.gr-qc/9912080,
  title  = {"Massive" vector field in de Sitter space},
  author = {J-P. Gazeau and M. V. Takook},
  journal= {arXiv preprint arXiv:gr-qc/9912080},
  year   = {2009}
}

备注

15 pages