Spin foam models for quantum gravity

Spin foam models for quantum gravity In this topical review, we reviewthe 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 themain goals of the approach. The main features of the various existing models for four-dimensional gravity arealso presented here. We conclude with a discussion of important questions tobe addressed in four dimensions (gauge invariance, discretization independence, etc).In the second part, we concentrate on the definition of the Barrett–Cranemodel. 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.

Authors: Perez A.Pages: 62     Year: 2003

Tags: gravity quantum models
   

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