Translation-Invariant Noncommutative Renormalization

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Author: Tanasa, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146308
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Translation-Invariant Noncommutative Renormalization / A. Tanasa // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 46 назв. — англ.

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 techniqu...