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  Bubbles and jackets: new scaling bounds in topological group field theories

Carrozza, S., & Oriti, D. (2012). Bubbles and jackets: new scaling bounds in topological group field theories. Journal of high energy physics: JHEP, 2012(6): 092. doi:10.1007/JHEP06(2012)092.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-8218-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-821B-D
Genre: Journal Article

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1203.5082 (Preprint), 406KB
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 Creators:
Carrozza, Sylvain1, Author              
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: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: We use a reformulation of topological group field theories in 3 and 4 dimensions in terms of variables associated to vertices, in 3d, and edges, in 4d, to obtain new scaling bounds for their Feynman amplitudes. In both 3 and 4 dimensions, we obtain a bubble bound proving the suppression of singular topologies with respect to the first terms in the perturbative expansion (in the cut-off). We also prove a new, stronger jacket bound than the one currently available in the literature. We expect these results to be relevant for other tensorial field theories of this type, as well as for group field theory models for 4d quantum gravity.

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 Dates: 2012-03-222012
 Publication Status: Published in print
 Pages: 32
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1203.5082
DOI: 10.1007/JHEP06(2012)092
 Degree: -

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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2012 (6) Sequence Number: 092 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002