论文标题
静态de de Sitter Universe中的量子场
Quantum fields in the static de Sitter universe
论文作者
论文摘要
我们构建了Rindler中各种树级传播器的显式模式扩展-DE Sitter Universe，也称为Sitter Spacetime的静态（或紧凑）贴片。我们特别构建了Wightman的功能，用于具有通用温度$ t $的热状态。我们给出了一个新的简单证明，即唯一尊重Sitter等轴测图的热Wightman繁殖器是对Rindler的限制-De the the the de the the Bunchies-Davies状态的Sitter Wedge。它是$ t =（2π）^{ - 1} $的热状态，在de Sitter曲率的单位中。我们表明，具有$ t \ ne（2π）^{ - 1} $的繁殖器只是时间翻译，并且在静态贴片的边界上具有额外的奇异性。我们还构建了静态贴片中所谓的alpha-vacua的扩展，并讨论固定限制。
We construct explicit mode expansions of various tree-level propagators in the Rindler -- de Sitter universe, also known as the static (or compact) patch of the de Sitter spacetime. We construct in particular the Wightman functions for thermal states having a generic temperature $T$. We give a fresh simple proof that the only thermal Wightman propagator that respects the de Sitter isometry is the restriction to the Rindler -- de Sitter wedge of the propagator for the Bunch--Davies state. It is the thermal state with $T = (2 π)^{-1}$ in the units of de Sitter curvature. We show that propagators with $T\ne(2π)^{-1}$ are only time translation invariant and have extra singularities on the boundary of the static patch. We also construct the expansions for the so-called alpha-vacua in the static patch and discuss the flat limit.
