On the canonical approach to quantum gravity
On the canonical approach to quantum gravity
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关于量子引力的经典方法
DOI：
10.1103/physrevd.26.3342
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发表时间：
1982
影响因子：
5
通讯作者：
G. Horowitz
中科院分区：
文献类型：
--
作者：
A. Ashtekar;G. Horowitz
广义相对论具有这样的性质：在自然投影映射下，相空间中约束面的像是位形空间的真子集。这一特征不为其他直接物理意义的场论所共有，如杨-米尔斯理论，也不为在广义相对论之后建模并详细分析的约束系统所共有。因此，为了深入了解这一特点，一个新的例子与有限数量的自由度的介绍和量化。分析表明，在正则方法中，约化相空间方法可能会产生量子引力的不完整描述。特别是，与这种方法所提供的指示相反，量子引力可能允许具有负能量的状态。
General relativity has the property that, under the natural projection mapping, the image of the constraint surface in the phase space is a proper subset of the configuration space. This feature is not shared by other field theories of direct physical interest such as the Yang-Mills theory, nor by constrained systems which have been modeled after general relativity and analyzed in detail. Therefore, to gain insight into this feature, a new example with a finite number of degrees of freedom is introduced and quantized. The analysis suggests that, in the canonical approach, the reduced phase-space method is likely to yield an incomplete description of quantum gravity. In particular, contrary to the indication provided by this method, quantum gravity may admit states with negative energies.