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arXiv 1104.4546gr-qchep-th
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圈量子宇宙学中规范固定的意义

Implications of the gauge-fixing in Loop Quantum Cosmology

Francesco Cianfrani, Giovanni Montani

摘要:

通过分析与相应的规范固定相关联的狄拉克括号,讨论了Friedmann-Robertson-Walker时空中对不变连接的限制.这种分析使我们能够建立减少和未减少的变量之间的适当的对应关系。在这方面,它概述了如何的完整通量代数符合圈量子引力,如果边缘是平行的单纯向量和量化的模型是通过标准的技术,通过限制允许的路径。在该方案中,强调了面积谱的离散化。然后,研究了在约化相空间中的同态生成元的作用,阐明了它是如何实现定义在立方纽结上的量子态的均匀性的。最后,一致的动力学治疗的前景进行了讨论。

英文摘要:

The restriction to invariant connections in a Friedmann-Robertson-Walker space-time is discussed via the analysis of the Dirac brackets associated with the corresponding gauge fixing. This analysis allows us to establish the proper correspondence between reduced and un-reduced variables. In this respect, it is outlined how the holonomy-flux algebra coincides with the one of Loop Quantum Gravity if edges are parallel to simplicial vectors and the quantization of the model is performed via standard techniques by restricting admissible paths. Within this scheme, the discretization of the area spectrum is emphasized. Then, the role of the diffeomorphisms generator in reduced phase-space is investigated and it is clarified how it implements homogeneity on quantum states, which are defined over cubical knots. Finally, the perspectives for a consistent dynamical treatment are discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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