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High Energy Physics - Theory

arXiv:hep-th/0302022 (hep-th)
[Submitted on 4 Feb 2003 ]

Title: Massive Spin-2 Field in De Sitter Space

Title: De Sitter空间中的大自旋-2场

Authors:T. Garidi, J-P. Gazeau, M. Takook
Abstract: In this paper we present a covariant quantization of the ``massive'' spin-2 field on de Sitter (dS) space. By ``massive'' we mean a field which carries a specific principal series representation of the dS group. The work is in the direct continuation of previous ones concerning the scalar, the spinor and the vector cases. The quantization procedure, independent of the choice of the coordinate system, is based on the Wightman-Garding axiomatic and on analyticity requirements for the two-point function in the complexified pseudo-Riemanian manifold. Such a construction is necessary in view of preparing and comparing with the dS conformal spin-2 massless case (dS linear quantum gravity) which will be considered in a forthcoming paper and for which specific quantization methods are needed.
Abstract: 本文中,我们给出了de Sitter(dS)空间上“有质量”自旋-2场的协变量子化方法。这里所谓的“有质量”,是指该场携带着dS群的具体主数列表示。这项工作直接延续了之前关于标量、旋量和矢量情形的研究。量子化过程独立于坐标系的选择,基于Wightman-Garding公理,并结合了在复化伪黎曼流形中对于两点函数的解析性要求。鉴于此构造对于准备和比较dS共形无质量自旋-2情形(即dS线性量子引力)的重要性,这种构建是必要的,后者将在即将发表的论文中考虑,并需要特定的量子化方法。
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:hep-th/0302022
  (or arXiv:hep-th/0302022v1 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0302022
arXiv-issued DOI via DataCite
Journal reference: J.Math.Phys. 44 (2003) 3838-3862
Related DOI: https://doi.org/10.1063/1.1599055
DOI(s) linking to related resources

Submission history

From: Gazeau [view email]
[v1] Tue, 4 Feb 2003 14:08:12 UTC (34 KB)
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