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  The Space of Connections as the Arena for (Quantum) Gravity

Gielen, S. (2011). The Space of Connections as the Arena for (Quantum) Gravity. SIGMA: Special Issue on Loop Quantum Gravity and Cosmology, 7, 104-116. doi:10.3842/SIGMA.2011.104.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-3131-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-3132-3
Genre: Journal Article

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1111.2672 (Preprint), 212KB
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 Creators:
Gielen, Steffen1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_persistent22              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: We review some properties of the space of connections as the natural arena for canonical (quantum) gravity, and compare to the case of the superspace of 3-metrics. We detail how a 1-parameter family of metrics on the space of connections arises from the canonical analysis for general relativity which has a natural interpretation in terms of invariant tensors on the algebra of the gauge group. We also review the description of canonical GR as a geodesic principle on the space of connections, and comment on the existence of a time variable which could be used in the interpretation of the quantum theory.

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 Dates: 2011-11-112011
 Publication Status: Published in print
 Pages: 12 Pages
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 Rev. Method: -
 Identifiers: arXiv: 1111.2672
DOI: 10.3842/SIGMA.2011.104
URI: http://arxiv.org/abs/1111.2672
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Title: SIGMA: Special Issue on Loop Quantum Gravity and Cosmology
Source Genre: Journal
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Pages: - Volume / Issue: 7 Sequence Number: - Start / End Page: 104 - 116 Identifier: -