Noncommutative Translations and $\star$-Product Formalism

Details Noncommutative Translations and $\star$-Product Formalism Noncommutative Translations and $\star$-Product Formalism

2007-01-16

arxiv.org/abs/hep-th/0701152v2

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX,ws-procs975x65 class (included), contribution to the Proceedings of the 11-th Marcel Grossmann meeting, Berlin, July 200

Scientific paper

We consider the noncommutative space-times with Lie-algebraic noncommutativity (e.g. $\kappa$-deformed Minkowski space). In the framework with classical fields we extend the $\star$-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.

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