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Energy momentum tensor for translation invariant renormalizable noncommutative field theory

2017/07/31 by Ezinvi Baloïtcha, Ezinvi Baloitcha, Vincent Lahoche +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Exact solutions in general relativity #Geometry #Invariant (physics) #Lagrangian #Lanczos tensor #Mathematical physics #Mathematics #Noether's theorem #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Pure mathematics #Quantum mechanics #Riemann curvature tensor #Stress–energy tensor #Tensor (intrinsic definition) #Tensor contraction #Tensor density #Tensor field #Tetrad #Weyl tensor #hep-th

paper · pdf · doi:10.1140/epjp/i2018-12339-8

published in The European Physical Journal Plus 133(12) (Springer Science+Business Media) · 12 pages

arxiv created 2018/11/20 · openalex publication_date 2018/12/01 · arxiv updated 2018/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations