论文标题
关于反de Sitter时空的各种图表中的相互作用量子场
On interacting quantum fields in various charts of anti de Sitter space-time
论文作者
论文摘要
本注的目的是了解是否有可能在覆盖时空（其时间坐标不是周期性的）以及其庞加利贴片中定义全球抗De Sitter时空的相互作用量子场理论。我们表明，在全球抗De Sitter时空时空存在某些问题可以正确定义量子场理论。这是由于Feynman繁殖器的额外紫外线奇异性，该探测器正坐在源头的阳极式散发器上。平坦的时空没有如此奇异。同时，ADS时空的Poincare区域中的量子场理论可以很好地定义，并且通过分析延续与欧几里得广告中的广告相关。原则上，一个人还可以在覆盖抗De Sitter时空中定义和分析继续量子场理论。但是，要做到这一点，必须在Feynman繁殖器中使用不寻常的$Iε$ - $ -PRESCRIPTION，在非平稳情况下不能在循环计算中使用。
The goal of the present note is to understand whether it is possible to define interacting quantum field theory in global anti de Sitter space-time with Lorentzian signature, in its covering space-time (whose time coordinate is not periodic) and in its Poincare patch. We show that in global anti de Sitter space-time there are certain problems to define quantum field theory properly. This is due to an additional UV singularity of the Feynman propagator which is sitting on the light-cone emanating from the antipodal point of the source. There is no such singularity in flat space-time. At the same time quantum field theory in Poincare region of the AdS space-time can be well defined and is related to the one in Euclidean AdS via the analytical continuation. In principle one can also define and analytically continue quantum field theory in the covering anti de Sitter space-time. However, to do that one has to use an unusual $iε$-prescription in the Feynman propagator, which cannot be used in loop calculations in non-stationary situations.
