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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 047, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.047 (Mi sigma504) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Translation-Invariant Noncommutative Renormalization

Adrian Tanasaab

a Centre de Physique Théorique, CNRS, UMR 7644, École Polytechnique, 91128 Palaiseau, France
b Institutul de Fizică şi Inginerie Nucleară Horia Hulubei, P. O. Box MG-6, 077125 Măgurele, România
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DOI: https://doi.org/10.3842/SIGMA.2010.047
Abstract: We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we present perspectives for generalizing these quantum field theoretical techniques to group field theory, a new setting for quantum gravity.
Keywords: noncommutative quantum field theory; Moyal space; locality; translation-invariance.
Received: March 25, 2010; in final form May 24, 2010; Published online June 8, 2010
Bibliographic databases:
Document Type: Article
MSC: 81T18; 81T75
Language: English
Citation: Adrian Tanasa, “Translation-Invariant Noncommutative Renormalization”, SIGMA, 6 (2010), 047, 13 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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