Asymptotic analysis of the EPRL four-simplex amplitude

Asymptotic analysis of the EPRL four-simplex amplitude
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EPRL 四单纯形幅值的渐近分析

DOI:
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发表时间:
2009
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影响因子:
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通讯作者:
F. Hellmann
F. Hellmann
中科院分区:
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文献类型:
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作者:
J. Barrett;R. J. Dowdall;W. Fairbairn;H. Gomes;F. Hellmann

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研究了具有 Immirzi 参数的自旋泡沫量子引力模型的 4-单纯形振幅的半经典极限。如果边界状态表示非简并 4-单纯形几何,则渐近公式包含广义相对论的 Regge 作用。引入了边界态的典型相位选择,并证明这是获得结果所必需的。
The semiclassical limit of a 4-simplex amplitude for a spin foam quantum gravity model with an Immirzi parameter is studied. If the boundary state represents a non-degenerate 4-simplex geometry, the asymptotic formula contains the Regge action for general relativity. A canonical choice of phase for the boundary state is introduced and is shown to be necessary to obtain the results.