Path integrals and instantons in quantum gravity: Minisuperspace models.
Path integrals and instantons in quantum gravity: Minisuperspace models.
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量子引力中的路径积分和瞬子：微型超空间模型。
DOI：
10.1103/physrevd.53.6979
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Marolf
中科院分区：
文献类型：
--
作者：
Marolf
虽然目前还没有一个完整的3+1量子引力的正则理论，但似乎有一个令人满意的小超空间模型的正则量子化。该方法不需要“选择时间变量”，并保持了系统的显式重参数化不变性。在接下来的研究中，这个正则形式被用来推导量子小超空间模型的路径积分。由于它来自一个定义良好的规范起点，积分的测度和轮廓由这个构造指定。由此产生的路径积分的性质进行了分析，无论是准确的，在半经典极限。特别注意的作用（无界）欧几里德行动和欧几里德瞬子被认为有助于$e^{-|S_E|/\hbar}$。
While there does not at this time exist a complete canonical theory of full 3+1 quantum gravity, there does appear to be a satisfactory canonical quantization of minisuperspace models. The method requires no `choice of time variable' and preserves the systems' explicit reparametrization invariance. In the following study, this canonical formalism is used to derive a path integral for quantum minisuperspace models. As it comes from a well-defined canonical starting point, the measure and contours of integration are specified by this construction. The properties of the resulting path integral are analyzed, both exactly and in the semiclassical limit. Particular attention is paid to the role of the (unbounded) Euclidean action and Euclidean instantons are argued to contribute as $e^{-|S_E|/\hbar}$.