Adrian Tanasa, “Translation-Invariant Noncommutative Renormalization”, SIGMA, 2010, Volume 6,047, 13 pp.

This article is cited in 7 papers

Translation-Invariant Noncommutative Renormalization

Adrian Tanasa^ab

^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

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.

MSC: 81T18; 81T75

Received: March 25, 2010; in final form May 24, 2010; Published online June 8, 2010

Language: English

DOI: 10.3842/SIGMA.2010.047