Eur. Phys. J. C (2012) 72: 2153
https://doi.org/10.1140/epjc/s10052-012-2153-4

Regular Article - Theoretical Physics

Degenerate noncommutativity

¹ Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090, Vienna, Austria
² Austro–Ukrainian Institute for Science and Technology, c/o TU Vienna, Wiedner Hauptstraße 8-10, 1040, Vienna, Austria

^* e-mail: michael.wohlgenannt@univie.ac.at

Received: 20 August 2012
Published online: 14 September 2012

Abstract

We study a renormalizable four dimensional model with two deformed quantized space directions. A one-loop renormalization is performed explicitly. The Euclidean model is connected to the Minkowski version via an analytic continuation. At a special value of the parameters a nontrivial fixed point of the renormalization group occurs.