EPRL缠绕和校正的配分函数
The EPRL intertwiners and corrected partition function
摘要：
SU（2）缠绕子是否将EPRL解的空间参数化到简单性约束？用这种参数化表示的配分函数的完整形式是什么？证明了当EPRL映射是从SO（3）到SO（3）xSO（3）表示的映射时，它对n叶顶点是内射的.然而，我们发现EPRL映射不是等距的。因此，为了写成SU（2）振幅形式，必须重新推导配分函数的公式。我们这样做，并获得一个新的，完整的配分函数的公式。这一结果超越了SU（2）自旋泡沫模型的框架。
英文摘要：
Do the SU(2) intertwiners parametrize the space of the EPRL solutions to the simplicity constraint? What is a complete form of the partition function written in terms of this parametrization? We prove that the EPRL map is injective for n-valent vertex in case when it is a map from SO(3) into SO(3)xSO(3) representations. We find, however, that the EPRL map is not isometric. In the consequence, in order to be written in a SU(2) amplitude form, the formula for the partition function has to be rederived. We do it and obtain a new, complete formula for the partition function. The result goes beyond the SU(2) spin-foam models framework.
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