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  Coarse graining methods for spin net and spin foam models

Dittrich, B., Eckert, F. C., & Martin-Benito, M. (2012). Coarse graining methods for spin net and spin foam models. New Journal of Physics, 14: 035008. doi:10.1088/1367-2630/14/3/035008.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-6273-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-7BDD-B
Genre: Journal Article

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1109.4927 (Preprint), 854KB
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 Creators:
Dittrich, Bianca1, Author              
Eckert, Frank C.1, Author              
Martin-Benito, Mercedes1, 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, Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el,High Energy Physics - Lattice, hep-lat,Quantum Physics, quant-ph
 Abstract: We undertake first steps in making a class of discrete models of quantum gravity, spin foams, accessible to a large scale analysis by numerical and computational methods. In particular, we apply Migdal-Kadanoff and Tensor Network Renormalization schemes to spin net and spin foam models based on finite Abelian groups and introduce `cutoff models' to probe the fate of gauge symmetries under various such approximated renormalization group flows. For the Tensor Network Renormalization analysis, a new Gauss constraint preserving algorithm is introduced to improve numerical stability and aid physical interpretation. We also describe the fixed point structure and establish an equivalence of certain models.

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 Dates: 2011-09-2220112012
 Publication Status: Published in print
 Pages: 39 pages, 13 figures, 1 table
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1109.4927
URI: http://arxiv.org/abs/1109.4927
DOI: 10.1088/1367-2630/14/3/035008
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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: 035008 Start / End Page: - Identifier: ISSN: 1367-2630
CoNE: /journals/resource/954926913666