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  From the discrete to the continuous - towards a cylindrically consistent dynamics

Dittrich, B. (2012). From the discrete to the continuous - towards a cylindrically consistent dynamics. New Journal of Physics, 14: 123004. doi:10.1088/1367-2630/14/12/123004.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-E976-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-8054-B
Genre: Journal Article

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1205.6127 (Preprint), 280KB
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1205.6127
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File downloaded from arXiv at 2012-09-03 12:13
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 Creators:
Dittrich, Bianca1, Author              
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_102878              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Lattice, hep-lat,Quantum Physics, quant-ph
 Abstract: Discrete models usually represent approximations to continuum physics. Cylindrical consistency provides a framework in which discretizations mirror exactly the continuum limit. Being a standard tool for the kinematics of loop quantum gravity we propose a coarse graining procedure that aims at constructing a cylindrically consistent dynamics in the form of transition amplitudes and Hamilton's principal functions. The coarse graining procedure, which is motivated by tensor network renormalization methods, provides a systematic approximation scheme towards this end. A crucial role in this coarse graining scheme is played by embedding maps that allow the interpretation of discrete boundary data as continuum configurations. These embedding maps should be selected according to the dynamics of the system, as a choice of embedding maps will determine a truncation of the renormalization flow.

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 Dates: 2012-05-282012
 Publication Status: Published in print
 Pages: 22 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1205.6127
URI: http://arxiv.org/abs/1205.6127
DOI: 10.1088/1367-2630/14/12/123004
 Degree: -

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Title: New Journal of Physics
  Other : New J. Phys.
Source Genre: Journal
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Publ. Info: Bristol, UK : Institute of Physics Pub.
Pages: - Volume / Issue: 14 Sequence Number: 123004 Start / End Page: - Identifier: ISSN: 1367-2630
CoNE: /journals/resource/954926913666