Tunneling wave function of the universe
Tunneling wave function of the universe
复制标题
DOI：
10.1103/physrevd.98.066003
复制
发表时间：
2018-08
影响因子：
5
通讯作者：
A. Vilenkin;Masaki Yamada
中科院分区：
文献类型：
--
作者：
A. Vilenkin;Masaki Yamada
在带有量子标量场的de Sitter宇宙的微超空间框架下，研究了作为微扰的宇宙的隧道波函数。我们考虑了三种不同的方法来定义隧道波函数：(1)超空间中的隧道边界条件，(2)洛伦兹路径积分，和(3)从大小为零的初始宇宙开始的量子隧道。我们证明了超空间方法需要标量场模的Robin边界条件，路径积分方法需要在标量场作用中添加适当的边界项，初始宇宙方法要求标量场的初始量子态是欧几里得真空。我们发现，这三种方法都产生了相同的波函数，并且标量场的涨落表现良好，这与文献中早先的说法相反。
The tunneling wave function of the universe is investigated in a minisuperspace framework of a de Sitter universe with a quantum scalar field, treated as a perturbation. We consider three different approaches to defining the tunneling wave function: (1) tunneling boundary conditions in superspace, (2) Lorentzian path integral, and (3) quantum tunneling from initial universe of a vanishing size. We show that the superspace approach requires Robin boundary conditions for the scalar field modes, the path integral approach requires adding an appropriate boundary term to the scalar field action, and the initial universe approach requires the initial quantum state of the scalar field to be Euclidean vacuum. We find that all three approaches yield identical wave functions and that scalar field fluctuations are well behaved, contrary to earlier claims in the literature.