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arXiv 0912.4907gr-qc
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从SU(2)15 j符号看量子引力的渐近性

Quantum gravity asymptotics from the SU(2) 15j symbol

John W. Barrett, Winston J. Fairbairn, Frank Hellmann

摘要:

利用相干态的边界数据,得到了SU(2)15 j符号的渐近性质.给出了所有非抑制边界数据的几何形状。对于某些边界数据,所得公式可以用4维欧几里得空间中4-单形几何的Regge作用来解释。这个渐近公式可用于推导和推广量子引力模型中自旋泡沫振幅的渐近性质。讨论了SU(2)Ooguri模型与这些量子引力模型及其连续拉格朗日量的关系。

英文摘要:

The asymptotics of the SU(2) 15j symbol are obtained using coherent states for the boundary data. The geometry of all non-suppressed boundary data is given. For some boundary data, the resulting formula is interpreted in terms of the Regge action of the geometry of a 4-simplex in 4-dimensional Euclidean space. This asymptotic formula can be used to derive and extend the asymptotics of the spin foam amplitudes for quantum gravity models. The relation of the SU(2) Ooguri model to these quantum gravity models and their continuum Lagrangians is 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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