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首页> 外文期刊>Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology >Spin foam models for quantum gravity [Review]
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Spin foam models for quantum gravity [Review]

机译：量子引力的自旋泡沫模型[综述]

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In this topical review, we review the present status of the spin foam formulation of non-perturbative (background-independent) quantum gravity. The topical review is divided into two parts. In the first part, we present a general introduction to the main ideas emphasizing their motivation from various perspectives. Riemannian three-dimensional gravity is used as a simple example to illustrate conceptual issues and the main goals of the approach. The main features of the various existing models for four-dimensional gravity are also presented here. We conclude with a discussion of important questions to be addressed in four dimensions (gauge invariance, discretization independence, etc). In the second part, we concentrate on the definition of the Barrett-Crane model. We present the main results obtained in this framework from a critical perspective. Finally, we review the combinatorial formulation of spin foam models based on the dual group field theory technology. We present the Barrett-Crane model in this framework and review the finiteness results obtained for both its Riemannian and its Lorentzian variants. [References: 146]
机译：在本主题综述中，我们回顾了非扰动（与背景无关）量子引力的自旋泡沫制剂的现状。主题回顾分为两个部分。在第一部分中，我们对主要思想进行了概述，从各种角度强调了他们的动机。黎曼三维重力作为一个简单的例子来说明概念问题和该方法的主要目标。这里还介绍了各种现有的四维重力模型的主要特征。最后，我们讨论了要在四个维度（规范不变性，离散化独立性等）上解决的重要问题。在第二部分中，我们集中讨论Barrett-Crane模型的定义。我们从批判的角度介绍了在此框架中获得的主要结果。最后，我们回顾了基于双组场理论技术的纺丝泡沫模型的组合公式。我们在此框架中介绍了Barrett-Crane模型，并回顾了其黎曼和洛伦兹变体的有限性结果。 [参考：146]

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