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  Coherent states for quantum gravity: towards collective variables

Oriti, D., Pereira, R., & Sindoni, L. (2012). Coherent states for quantum gravity: towards collective variables. Classical and quantum gravity, 29(10): 135002. doi:10.1088/0264-9381/29/13/135002.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-8441-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-8443-0
Genre: Journal Article

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1202.0526 (Preprint), 524KB
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 Creators:
Oriti, Daniele1, Author              
Pereira, Roberto, Author
Sindoni, Lorenzo1, 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
 Abstract: We investigate the construction of coherent states for quantum theories of connections based on graphs embedded in a spatial manifold, as in loop quantum gravity. We discuss the many subtleties of the construction, mainly related to the diffeomorphism invariance of the theory. Aiming at approximating a continuum geometry in terms of discrete, graph-based data, we focus on coherent states for collective observables characterizing both the intrinsic and extrinsic geometry of the hypersurface, and we argue that one needs to revise accordingly the more local definitions of coherent states considered in the literature so far. In order to clarify the concepts introduced, we work through a concrete example that we hope will be useful to applying coherent state techniques to cosmology.

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 Dates: 2012-02-022012-07-07
 Publication Status: Published in print
 Pages: 25 pages, 1 figure
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1202.0526
DOI: 10.1088/0264-9381/29/13/135002
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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: 29 (10) Sequence Number: 135002 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1