Vector two-point functions in maximally symmetric spaces

Vector two-point functions in maximally symmetric spaces
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DOI:
10.1007/bf01211169
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发表时间:
1986-06
影响因子:
2.4
通讯作者:
B. Allen;T. Jacobson
B. Allen;T. Jacobson
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
B. Allen;T. Jacobson

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我们在任意维数的极大对称空间(和真空)中得到了有质量和无质量的向量两点函数。这些包括德西特空间和反德西特空间,以及它们的欧几里得类比Sn和Hn。我们的方法是基于一个简单的方式来构建每一个可能的最大对称bitensorTa…bc '. d′(x,x′),它带有切空间指标a. batxandc′. d'atx '.
We obtain massive and massless vector two-point functions in maximally symmetric spaces (and vacua) of any number of dimensions. These include de Sitter space and anti-de Sitter space, and their Euclidean analogsSnandHn. Our method is based on a simple way of constructing every possible maximally symmetric bitensorTa...bc′...d′(x, x′) which carries tangent-space indicesa...batxandc′...d′atx′.