Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-02-25
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, Latex2e, available at http://qcd.th.u-psud.fr
Scientific paper
10.1063/1.532376
We analyse the structure of the $\kappa=0$ limit of a family of algebras $A_\kappa$ describing noncommutative versions of space-time, with $\kappa$ a parameter of noncommutativity. Assuming the Poincar\'e covariance of the $\kappa=0$ limit, we show that, besides the algebra of functions on Minkowski space, $A_0$ must contain a nontrivial extra factor $A^I_0$ which is Lorentz covariant and which does not commute with the functions whenever it is not commutative. We give a general description of the possibilities and analyse some representative examples.
Dubois-Violette Michel
Kerner Richard
Madore John
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