ENGLISH

Spin foam models for quantum gravity

By Abhay Ashtekar , Ranjeet S. Tate

Book information

Year
2003
ISBN
9789810205737, 981-02-0573-2
Open Library ID
OL9193823M
Language
english
Format
PDF
Filesize
747 kB (764457 bytes)
Series
CQG 20 R43
Pages
62\62
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

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 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.

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