Quantum gravity as a broken symmetry phase of a BF theory

We explain how General Relativity with a cosmological constant arises as a broken symmetry phase of a BF theory. In particular we show how to treat de Sitter and anti-de Sitter cases simultaneously. This is then used to formulate a quantisation of General Relativity through a spin foam perturbation...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2006
Main Author: Miković, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2006
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146067
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Quantum gravity as a broken symmetry phase of a BF theory / A. Miković // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:We explain how General Relativity with a cosmological constant arises as a broken symmetry phase of a BF theory. In particular we show how to treat de Sitter and anti-de Sitter cases simultaneously. This is then used to formulate a quantisation of General Relativity through a spin foam perturbation theory. We then briefly discuss how to calculate the effective action in this quantization procedure.
ISSN:1815-0659