论文标题
2D Schwarzschild-de保姆时空中的视野和相关函数
Horizons and Correlation Functions in 2D Schwarzschild-de Sitter Spacetime
论文作者
论文摘要
二维Schwarzschild-de保姆是一个方便的时空，在该时空中，由于时空包含两个范围，因此可以精确地求解无质量最小耦合标量场的波方程。无质量标量的两点相关函数在Unruh状态下计算。已经发现，场相关性根据特定的时间坐标线性增长，该时间坐标在过去视野的未来发展中是良好的，并且生长速率等于黑洞和宇宙学表面重力的总和。这个时间依赖性是由于用于定义状态的过去凯奇表面的每个地平线成分的添加贡献。在宇宙学远场限制中，国家成为束戴上的真空。还分析了场速度的两个点函数，当一个点在黑洞和宇宙学范围之间时，发现峰值，一个点不在未来的宇宙学上。
Two-dimensional Schwarzschild-de Sitter is a convenient spacetime in which to study the effects of horizons on quantum fields since the spacetime contains two horizons, and the wave equation for a massless minimally coupled scalar field can be solved exactly. The two-point correlation function of a massless scalar is computed in the Unruh state. It is found that the field correlations grow linearly in terms of a particular time coordinate that is good in the future development of the past horizons, and that the rate of growth is equal to the sum of the black hole plus cosmological surface gravities. This time dependence results from additive contributions of each horizon component of the past Cauchy surface that is used to define the state. The state becomes the Bunch-Davies vacuum in the cosmological far field limit. The two point function for the field velocities is also analyzed and a peak is found when one point is between the black hole and cosmological horizons and one point is outside the future cosmological horizon.
