论文标题

如何计算EPRL自旋泡沫振幅

How-To compute EPRL spin foam amplitudes

论文作者

Dona, Pietro, Frisoni, Pietropaolo

论文摘要

自旋泡沫理论是量子重力的具体框架,其中可能的过渡幅度计算是可能的。最近,该领域变得非常活跃,但是进入障碍很陡峭,这主要是因为其不寻常的语言和围绕文献的概念。本文是旋转泡沫过渡振幅计算的教学指南。我们展示了如何使用\ texttt {sl2cfoam-next}来编写EPRL-FK过渡幅度,从2-复合的定义到其数值实现。我们使用明确的示例指导读者,以一种实用的方法来平衡数学严谨性。我们讨论了这种方法的优点和缺点,并提供了新提出的近似方案的新颖介绍。

Spin foam theory is a concrete framework for quantum gravity where numerical calculations of transition amplitudes are possible. Recently, the field became very active, but the entry barrier is steep, mainly because of its unusual language and notions scattered around the literature. This paper is a pedagogical guide to spin foam transition amplitude calculations. We show how to write an EPRL-FK transition amplitude, from the definition of the 2-complex to its numerical implementation using \texttt{sl2cfoam-next}. We guide the reader using an explicit example balancing mathematical rigor with a practical approach. We discuss the advantages and disadvantages of this approach and provide a novel look at a recently proposed approximation scheme.

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