Noncommutative Translations and $\star$-Product Formalism
High Energy Physics - Theory
2016-11-15 v2
Abstract
We consider the noncommutative space-times with Lie-algebraic noncommutativity (e.g. -deformed Minkowski space). In the framework with classical fields we extend the -product in order to represent the noncommutative translations in terms of commutative ones. We show the translational invariance of noncommutative bilinear action with local product of noncommutative fields. The quadratic noncommutativity is also briefly discussed.
Keywords
Cite
@article{arxiv.hep-th/0701152,
title = {Noncommutative Translations and $\star$-Product Formalism},
author = {Marcin Daszkiewicz and Jerzy Lukierski and Mariusz Woronowicz},
journal= {arXiv preprint arXiv:hep-th/0701152},
year = {2016}
}
Comments
LaTeX,ws-procs975x65 class (included), contribution to the Proceedings of the 11-th Marcel Grossmann meeting, Berlin, July 2006, Ed. H. Kleinert, R.T. Jantzen and R. Rufini, World Scientific, Singapore 2007. V2 small typo corrections