弯曲时空中的光子格林函数
Photon Green Functions in Curved Space-Time
摘要：
在Lorenz规范和任意规范参数下弯曲时空中电动力学的量子化使得研究变系数非极小算子的格林函数成为必要。从光子格林函数的积分表示出发，我们将它们与涉及伽玛函数的积分的计算联系起来。最后，完全渐近展开的费曼光子格林函数在世界函数的小值，以及其明确的依赖于规范参数，得到不添加一个质量项的Faddeev-Popov拉格朗日手。相关的阿达玛函数的第二协变导数的重合极限也进行了评估，作为第一步的能量动量张量在非最小的情况下。
英文摘要：
Quantization of electrodynamics in curved space-time in the Lorenz gauge and with arbitrary gauge parameter makes it necessary to study Green functions of non-minimal operators with variable coefficients. Starting from the integral representation of photon Green functions, we link them to the evaluation of integrals involving Gamma-functions. Eventually, the full asymptotic expansion of the Feynman photon Green function at small values of the world function, as well as its explicit dependence on the gauge parameter, are obtained without adding by hand a mass term to the Faddeev-Popov Lagrangian. Coincidence limits of second covariant derivatives of the associated Hadamard function are also evaluated, as a first step towards the energy-momentum tensor in the non-minimal case.
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