论文标题

群体场理论的流体动力学阶段的宇宙学意义

Cosmological implications of the hydrodynamical phase of group field theory

论文作者

Gabbanelli, Luciano, De Bianchi, Silvia

论文摘要

在这篇综述中,我们关注组田间理论方法的主要宇宙学含义,根据该方法,可以从基础形式主义中提取有效的连续宏观宏观动力学,以实现量子重力。在这张照片中,重要的是大量量化几何形状的集体行为。最终的状态是一种凝结物样结构,该结构是由无空间真空的组场理论场的“前几何”激发制成的。从运动学和动力学开始,我们概述了小组田地理论凝聚宇宙学对待均质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,奇异性的分辨率表征了总体相对论。与通常在量子宇宙学中所做的相反,在GFT宇宙学中,为此目的不需要初步对称性。我们最后讨论了小组现场理论方法的局限性和未来观点。

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 GFT 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.

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