2007/01/31 by D. M. Gitman, D. M. GITMAN, D. V. Vassilevich +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1142/s0217732308024481
published as Mod.Phys.Lett.A23:887-893,2008 · 8 pages, v2: reference added, v3: misprints corrected
arxiv created 2007/03/08 · openalex publication_date 2008/04/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider a Moyal plane and propose to make the noncommutativity parameter Θ μν bifermionic, i.e. composed of two fermionic (Grassmann odd) parameters. The Moyal product then contains a finite number of derivatives, which avoid the difficulties of the standard approach. As an example, we construct a two-dimensional noncommutative field theory model based on the Moyal product with a bifermionic parameter and show that it has a locally conserved energy–momentum tensor. The model has no problem with the canonical quantization and appears to be renormalizable.