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  Discrete and continuum third quantization of Gravity

Gielen, S., & Oriti, D. (2012). Discrete and continuum third quantization of Gravity. In F. Finster, O. Mueller, M. Nardmann, J. Tolksdorf, & E. Zeidler (Eds.), Quantum Field Theory and Gravity: Conceptual and Mathematical Advances in the Search for a Unified Framework Finster, F.; Mueller, O.; Nardmann, M.; Tolksdorf, J.; Zeidler, E. (Eds.). Basel: Springer.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-3126-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-3127-E
Genre: Conference Paper

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1102.2226 (Preprint), 409KB
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1102.2226
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File downloaded from arXiv at 2011-11-15 10:17
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 Creators:
Gielen, Steffen1, Author              
Oriti, Daniele1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: We give a brief introduction to matrix models and the group field theory (GFT) formalism as realizations of the idea of a third quantization of gravity, and present in some more detail the idea and basic features of a continuum third quantization formalism in terms of a field theory on the space of connections, building up on the results of loop quantum gravity that allow to make the idea slightly more concrete. We explore to what extent one can rigorously define such a field theory. Concrete examples are given for the simple case of Riemannian GR in 3 spacetime dimensions. We discuss the relation between GFT and this formal continuum third quantized gravity, and what it can teach us about the continuum limit of GFTs.

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 Dates: 2011-02-102011-11-102011-11-1520112012
 Publication Status: Published in print
 Pages: 21 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1102.2226
URI: http://arxiv.org/abs/1102.2226
 Degree: -

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Title: Quantum Field Theory and Gravity Conference
Place of Event: Regensburg
Start-/End Date: 2010-09-28 - 2010-10-01

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Title: Quantum Field Theory and Gravity: Conceptual and Mathematical Advances in the Search for a Unified Framework Finster, F.; Mueller, O.; Nardmann, M.; Tolksdorf, J.; Zeidler, E. (Eds.)
Source Genre: Proceedings
 Creator(s):
Finster, F., Editor
Mueller, O., Editor
Nardmann, M., Editor
Tolksdorf, J., Editor
Zeidler, E., Editor
Affiliations:
-
Publ. Info: Basel : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: ISBN: 978-3-0348-0042-6