论文标题
de Sitter时空的量子场理论的严格变形
Strict deformations of quantum field theory in de Sitter spacetime
论文作者
论文摘要
我们提出了一种新的变形Rieffel产品，用于在Sitter时空中的功能，并使用扭曲的卷积研究了Sitter在DE Sitter中的量子场理论的变形。这种变形是通过将de Sitter嵌入更高维的Minkowski时空中获得的，并使用翻译的作用将其变形，然后将其投射回DE Sitter。我们确定了变形的自由标量量子场的两点函数，该量子场与未形成的量子场不同，与它们重合的变形Minkowski时空的结果相反。然而，我们表明，在de de Sitter时空变得平坦的限制中，我们恢复了众所周知的非交流性Minkowski时空。
We propose a new deformed Rieffel product for functions in de Sitter spacetime, and study the resulting deformation of quantum field theory in de Sitter using warped convolutions. This deformation is obtained by embedding de Sitter in a higher-dimensional Minkowski spacetime, deforming there using the action of translations and subsequently projecting back to de Sitter. We determine the two-point function of a deformed free scalar quantum field, which differs from the undeformed one, in contrast to the results in deformed Minkowski spacetime where they coincide. Nevertheless, we show that in the limit where de Sitter spacetime becomes flat, we recover the well-known non-commutative Minkowski spacetime.
