论文标题
De Sitter空间中的复杂的大地学
Complex geodesics in de Sitter space
论文作者
论文摘要
可以通过使用半经典的大地测量近似值来评估固定背景上游离大规模标量场的两点函数。但是，在De Sitter空间中，这构成了一个难题。尽管束戴维斯状态在非呈现状态中具有相应的两点函数，但某些空间类别的分离点并未通过实际的测量学连接。我们通过在分析延续到球体后考虑复杂的大地测量方法来解决这一难题。我们将一环校正计算到相关器，并讨论结果对Sitter全息图的含义。
The two-point function of a free massive scalar field on a fixed background can be evaluated in the large mass limit by using a semiclassical geodesic approximation. In de Sitter space, however, this poses a puzzle. Certain spacelike separated points are not connected by real geodesics despite the corresponding two-point function in the Bunch-Davies state being non-vanishing. We resolve this puzzle by considering complex geodesics after analytically continuing to the sphere. We compute one-loop corrections to the correlator and discuss the implications of our results to de Sitter holography.
