论文标题
一般协变量量规的de Sitter空间中的光子传播器
Photon propagator in de Sitter space in the general covariant gauge
论文作者
论文摘要
我们考虑在$ d $ d $二维设立空间中的免费光子场，并在一般协变量仪表板中构建其传播器。规范量化用于定义从经典理论开始的系统。这确保了繁殖器能够满足运动方程式和辅助条件，从仪表不变性和量规固定降低。我们首先在动量空间中构建传播剂作为总模型，仔细考虑了状态的对称特性。然后，我们以协变量表示来得出位置空间传播器，这是我们的主要结果。我们的结论不同意先前的结果，因为我们发现位置空间光子传播器必然打破了de Sitter对称性，除非在精确的横向仪上极限。
We consider a free photon field in $D$-dimensional de Sitter space, and construct its propagator in the general covariant gauge. Canonical quantization is employed to define the system starting from the classical theory. This guarantees that the propagator satisfies both the equation of motion and subsidiary conditions descending from gauge invariance and gauge fixing. We first construct the propagator as a sum-over-modes in momentum space, carefully accounting for symmetry properties of the state. We then derive the position space propagator in a covariant representation, that is our main result. Our conclusions disagree with previous results as we find that the position space photon propagator necessarily breaks de Sitter symmetry, except in the exact transverse gauge limit.
