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  Group field theory as the second quantization of loop quantum gravity

Oriti, D. (2016). Group field theory as the second quantization of loop quantum gravity. Classical and quantum gravity, 33(8): 085005. doi:10.1088/0264-9381/33/8/085005.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-A8FE-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F972-5
Genre: Journal Article

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 Creators:
Oriti, Daniele1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: We construct a 2nd quantized reformulation of canonical Loop Quantum Gravity at both kinematical and dynamical level, in terms of a Fock space of spin networks, and show in full generality that it leads directly to the Group Field Theory formalism. In particular, we show the correspondence between canonical LQG dynamics and GFT dynamics leading to a specific GFT model from any definition of quantum canonical dynamics of spin networks. We exemplify the correspondence of dynamics in the specific example of 3d quantum gravity. The correspondence between canonical LQG and covariant spin foam models is obtained via the GFT definition of the latter.

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 Dates: 2013-10-292016
 Publication Status: Published in print
 Pages: 23 pages, 5 figures; RevTex4
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1310.7786
DOI: 10.1088/0264-9381/33/8/085005
 Degree: -

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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 33 (8) Sequence Number: 085005 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1