论文标题
De Sitter空间中的延迟相关器和复杂的大地学
Late-Time Correlators and Complex Geodesics in de Sitter Space
论文作者
论文摘要
我们研究了使用热核形式主义的DE Sitter空间中大量自由标量场的两点相关函数。专注于两个在共轭静态斑块中的操作员，我们将大地近似值带到两个点相关器，对大质量和后期有效。该表达式涉及在两个复杂的共轭测量学上的总和，该总和正确地重现了Bunch-Davies真空中确切的两点函数的大质量，延迟限制。晚期相关器的指数衰减与复杂的大地测量学的时光部分相关。我们强调的是，较晚的指数衰减与空置空位空间的有限最大熵保持紧张，我们简要讨论非扰动校正如何解决此悖论。
We study two-point correlation functions of a massive free scalar field in de Sitter space using the heat kernel formalism. Focusing on two operators in conjugate static patches we derive a geodesic approximation to the two-point correlator valid for large mass and at late times. This expression involves a sum over two complex conjugate geodesics that correctly reproduces the large-mass, late-time limit of the exact two-point function in the Bunch-Davies vacuum. The exponential decay of the late-time correlator is associated to the timelike part of the complex geodesics. We emphasize that the late-time exponential decay is in tension with the finite maximal entropy of empty de Sitter space, and we briefly discuss how non-perturbative corrections might resolve this paradox.
