A Translation-Invariant Renormalizable Non-Commutative Scalar Model

• DOI: 10.1007/s00220-008-0658-3
• Publication Date: 2008-10-21T12:12:00Z
• Authors: R. Gurau; J. Magnen; V. Rivasseau; A. Tanasa
• Keywords: High Energy Physics - Theory; 81T15; 81T75; [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]; [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]; 500; FOS: Physical sciences; Statistical and Nonlinear Physics; 81T75; Mathematical Physics (math-ph); 81T15; 530; 01 natural sciences; High Energy Physics - Theory (hep-th); [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]; 0103 physical sciences; Mathematical Physics

17 pages, 3 figures<br/>In this paper we propose a translation-invariant scalar model on the Moyal space. We prove that this model does not suffer from the UV/IR mixing and we establish its renormalizability to all orders in perturbation theory.<br/>