Eur. Phys. J. Plus (2018) 133: 515
https://doi.org/10.1140/epjp/i2018-12339-8

Regular Article

Energy momentum tensor for translation invariant renormalizable noncommutative field theory

¹ Faculté des Sciences et Techniques, International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, 072B.P.50, Cotonou, Benin
² LaBRI, Univ.Bordeaux 351 cours de la Libération, 33405, Talence, France
³ Max Planck Institute for Gravitational Physics, Albert Einstein Institute, Am Mühlenberg 1, 14476, Potsdam, Germany

^* e-mail: ousmanesamarydine@yahoo.fr

Received: 12 July 2018
Accepted: 22 October 2018
Published online: 14 December 2018

Abstract

In this paper, we derive the energy momentum tensor for the translation invariant noncommutative Tanasa et al. scalar field model. The Wilson regularization procedure is used to improve this tensor and the local conservation property is recovered. The same question is addressed in the case where the Moyal star product is deformed including the tetrad fields. It provides us with an extension of the recent work (J. Phys. A: Math. Theor. 43, 155202 (2010)), regarding the computation and properties of the Noether currents to the renormalizable models.