论文标题
关于De-sitter时空中测量学的量子校正
On quantum corrections to geodesics in de-Sitter spacetime
论文作者
论文摘要
我们找到了与De-sitter宇宙中重力的共形klein-gordon方程的坐标无关的波包解决方案。假设标量场质量$ m $比De-sitter Hubble常数$ H $大得多，则可以通过任何时空点在任何时空点的叠加来代表该解决方案。该解决方案还显示与De-Sitter量子真空中的两点函数有关。此外，我们研究了宇宙学时代的波包传播，具体取决于$ m $和$ h $的比率。在这样做时，我们发现该波包在$ M \ ggg h $的情况下像点状粒子一样传播，但是，如果否则，波数据包的表现高度非经典。
We find a coordinate-independent wave-packet solution of the massive Klein-Gordon equation with the conformal coupling to gravity in the de-Sitter universe. This solution can locally be represented through the superposition of positive-frequency plane waves at any space-time point, assuming that the scalar-field mass $M$ is much bigger than the de-Sitter Hubble constant $H$. The solution is also shown to be related to the two-point function in the de-Sitter quantum vacuum. Moreover, we study the wave-packet propagation over cosmological times, depending on the ratio of $M$ and $H$. In doing so, we find that this wave packet propagates like a point-like particle of the same mass if $M \ggg H$, but, if otherwise, the wave packet behaves highly non-classically.
