Green's functions and Hadamard parametrices for vector and tensor fields in general linear covariant gauges
Green's functions and Hadamard parametrices for vector and tensor fields in general linear covariant gauges
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一般线性协变规范中矢量场和张量场的格林函数和阿达玛参数
DOI：
10.1103/physrevd.97.025022
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发表时间：
2017
影响因子：
5
通讯作者：
Mojtaba Taslimi Tehrani
中科院分区：
文献类型：
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作者：
M. Frob;Mojtaba Taslimi Tehrani
在弯曲时空中，我们确定了线性化的有质量和无质量规范玻色子以及线性化的爱因斯坦引力与宇宙常数的一般线性协变规范的滞后和超前绿色函数和Hadamard参数.这些矢量和张量参数包含额外的奇异项相比，他们的费曼/德唐德规范对应。我们还给出了显式的Hadamard系数的递归关系，并指出其推广到n维。此外，我们表示的向量和张量绿色的功能的发散和跟踪的标量和向量绿色的功能的导数，并显示这些关系出现在自由量子理论的沃德恒等式。
We determine the retarded and advanced Green’s functions and Hadamard parametrices in curved spacetimes for linearized massive and massless gauge bosons and linearized Einstein gravity with a cosmological constant in general linear covariant gauges. These vector and tensor parametrices contain additional singular terms compared with their Feynman/de Donder-gauge counterpart. We also give explicit recursion relations for the Hadamard coefficients, and indicate their generalization to n dimensions. Furthermore, we express the divergence and trace of the vector and tensor Green’s functions in terms of derivatives of scalar and vector Green’s functions, and show how these relations appear as Ward identities in the free quantum theory.
DOI：
10.4171/037
发表时间：
2007-03
期刊：
--
影响因子：
--
作者：
Christian Baer;N. Ginoux;Frank Pfaeffle
通讯作者：
Christian Baer;N. Ginoux;Frank Pfaeffle