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arXiv 0812.5018gr-qc
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LQG传播器:III。新顶点

LQG propagator: III. The new vertex

Emanuele Alesci, Eugenio Bianchi, Carlo Rovelli

摘要:

在本系列的第一篇文章中,我们指出了试图从由巴雷特-克兰顶点振幅定义的环量子引力动力学推导引力子两点函数的低能行为的困难。在这里,我们表明,这种困难消失时,使用最近在文献中介绍的校正顶点振幅。特别是,我们表明,由巴雷特,费尔贝恩和其他人最近进行的新的顶点振幅的渐近分析,这意味着顶点的渐近结构,正是在本系列的第二篇文章中,被指示为克服困难的关键必要条件。

英文摘要:

In the first article of this series, we pointed out a difficulty in the attempt to derive the low-energy behavior of the graviton two-point function, from the loop-quantum-gravity dynamics defined by the Barrett-Crane vertex amplitude. Here we show that this difficulty disappears when using the corrected vertex amplitude recently introduced in the literature. In particular, we show that the asymptotic analysis of the new vertex amplitude recently performed by Barrett, Fairbairn and others, implies that the vertex has precisely the asymptotic structure that, in the second article of this series, was indicated as the key necessary condition for overcoming the difficulty.

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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