Canonical quantization of gravitating point particles in 2 + 1 dimensions
Canonical quantization of gravitating point particles in 2 + 1 dimensions
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2 1 维引力点粒子的规范量子化
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
G. ’t Hooft
中科院分区：
文献类型：
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作者：
G. ’t Hooft
在2+1维中，有限数量的引力点粒子可能会关闭它们所在的宇宙。作者以前介绍的形式主义使用镶嵌柯西曲面应用于定义这个模型的量化版本。特别强调的是把在统一性和唯一性的演化算子和物理解释的模型。据我们所知，这是第一个量子版本自动离散时间的模型。但类空距离也以一种非常特殊的方式离散化。
A finite number of gravitating point particles in 2+1 dimensions may close the universe they are in. A formalism previously introduced by the author using tesselated Cauchy surfaces is applied to define a quantized version of this model. Special emphasis is put on unitarity and uniqueness of the evolution operator and on the physical interpretation of the model. As far as we know this is the first model whose quantum version automatically discretizes time. But also spacelike distances are discretized in a very special way.