In this review we focus on the main cosmological implications of the Group Field Theory approach, according to which an effective continuum macroscopic dynamics can be extracted from the underlying formalism for quantum gravity. Within this picture what counts is the collective behaviour of a large number of quanta of geometry. The resulting state is a condensate-like structure made of “pre-geometric” excitations of the Group Field Theory field over a no-space vacuum. Starting from the kinematics and dynamics, we offer an overview of the way in which Group Field Theory condensate cosmology treats solutions for the homogeneous and isotropic universe. These solutions including a bounce, share with other quantum cosmological approaches the resolution of the singularity characterizing general relativity. Contrary to what is usually done in quantum cosmology, in Group Field Theory cosmology no preliminary symmetry reduction is needed for this purpose. We conclude with a discussion of the limits and future perspectives of the Group Field Theory approach.

在这篇综述中，我们关注群场论方法的主要宇宙学含义，根据该方法可以从量子引力的基本形式中提取有效的连续介质宏观动力学。在这张图片中，重要的是大量几何量子的集体行为。由此产生的状态是一种凝聚态结构，由群场论场在无空间真空上的“前几何”激发组成。从运动学和动力学开始，我们概述了群场论凝聚态宇宙学处理均匀和各向同性宇宙的解决方案的方式。这些解决方案包括反弹，与其他量子宇宙学方法共享表征广义相对论的奇点的分辨率。与通常在量子宇宙学中所做的相反，在群场论宇宙学中，为此目的不需要初步的对称约简。我们最后讨论了群场论方法的局限性和未来前景。