Energy momentum tensor for translation invariant renormalizable noncommutative field theory

TL;DR

This paper derives and improves the energy momentum tensor for a translation invariant noncommutative scalar field theory, extending previous work on Noether currents to include renormalizable models with deformed Moyal products.

Contribution

It introduces a method to derive and regularize the energy momentum tensor in noncommutative field theories, including cases with deformed star products and tetrad fields.

Findings

Energy momentum tensor derived for noncommutative scalar field model

Wilson regularization restores local conservation of the tensor

Extension of Noether current analysis to renormalizable noncommutative models

Abstract

In this paper, we derive the energy momentum tensor for the translation invariant noncommutative Tanasa 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 with an extension of the recent work [J. Phys. A: Math. Theor. 43 (2010) 155202], regarding the computation and properties of the Noether currents to the renormalizable models.