零模量子化的时间旅行者指南
The time traveler's guide to the quantization of zero modes
摘要：
利用时间机器研究了二维爱因斯坦柱上无质量标量场量子化与时空中无质量标量场量子化之间的关系。我们发现，后者挑选出一个独特的处方的状态的零模式在爱因斯坦圆柱。我们展示了这种选择是如何产生的真空Wightman函数和真空重整化应力能量张量的时间机器几何的计算。最后，我们与先前提出的正则化的零模式状态作为压缩状态的时间机器的翘曲参数，从而证明了在后者的量子化正则化的量子化在爱因斯坦圆柱。
英文摘要：
We study the relationship between the quantization of a massless scalar field on the two-dimensional Einstein cylinder and in a spacetime with a time machine. We find that the latter picks out a unique prescription for the state of the zero mode in the Einstein cylinder. We show how this choice arises from the computation of the vacuum Wightman function and the vacuum renormalized stress-energy tensor in the time-machine geometry. Finally, we relate the previously proposed regularization of the zero mode state as a squeezed state with the time-machine warp parameter, thus demonstrating that the quantization in the latter regularizes the quantization in an Einstein cylinder.
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