This article reviews the present status of the spin-foam approach to the quantization of gravity. Special attention is payed to the pedagogical presentation of the recently-introduced new models for four-dimensional quantum gravity. The models are motivated by a suitable implementation of the path integral quantization of the Plebanski formulation of gravity on a simplicial regularization. The article also includes a self-contained treatment of 2+1 gravity. The simple nature of the latter provides the basis and a perspective for the analysis of both conceptual and technical issues that remain open in four dimensions.

中文翻译：

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量子引力的旋转泡沫方法。


本文回顾了自旋泡沫重力量子化方法的现状。特别关注最近推出的四维量子引力新模型的教学演示。这些模型的动机是在单纯正则化上适当实现引力的 Plebanski 公式的路径积分量化。文章还包含了2+1重力的自足处理。后者的简单性为在四个维度上仍然开放的概念和技术问题的分析提供了基础和视角。