论文标题
Minkowski和De Sitter空间的各种图表中精确相关函数的等轴测不变性
Isometry invariance of exact correlation functions in various charts of Minkowski and de Sitter spaces
论文作者
论文摘要
我们考虑了Minkowski和De Sitter空间时间各种斑块中具有自我互动的量子场理论。也就是说，在Minkowski时空时，我们考虑了右（左）Rindler Wedge，过去的楔子和未来的楔子。在De Sitter时空，我们考虑扩大Poincare补丁，静态补丁，Contract Poincare Patch和Global De Sitter本身。在所有情况下，我们将考虑因素限制为等距不变状态，从而导致最大分析性传播器。我们证明，在过去（Minkowski时空），静态贴片和扩展的PoinCare Patch（de Sitter时空）中，右（左）Rindler Wedge中的循环校正尊重相应的对称空间 - 时间的相应异构体。所有这些事实都与我们考虑的州的繁殖者的因果关系和分析特性有关。同时，在将来的楔子中，在签约的庞加雷贴片和全球的de de de de，时空红外效应违反了同步。
We consider quantum field theory with selfinteractions in various patches of Minkowski and de Sitter space-times. Namely, in Minkowski space-time we consider separately right (left) Rindler wedge, past wedge and future wedge. In de Sitter space-time we consider expanding Poincare patch, static patch, contracting Poincare patch and global de Sitter itself. In all cases we restrict our considerations to the isometry invariant states leading to maximally analytic propagators. We prove that loop corrections in right (left) Rindler wedge, in the past wedge (of Minkowski space-time), in the static patch and in the expanding Poincare patch (of de Sitter space-time) respect the corresponding isometries of the corresponding symmetric space-times. All these facts are related to the causality and analyticity properties of the propagators for the states that we consider. At the same time in the future wedge, in the contracting Poincare patch and in global de Sitter space-time infrared effects violate the isometries.
