Twisted Grosse-Wulkenhaar $Ï^{\star 4}$ model: dynamical noncommutativity and Noether currents
arXiv:0909.4562 · doi:10.1088/1751-8113/43/15/155202
Abstract
This paper addresses the computation of Noether currrents for the renormalizable Grosse-Wulkenhaar (GW) $Ï^{\star 4}$ model subjected to a dynamical noncomutativity realized through a twisted Moyal product. The noncommutative (NC) energy-momentum tensor (EMT), angular momentum tensor (AMT) and the dilatation current (DC) are explicitly derived. The breaking of translation and rotation invariances has been avoided via a constraint equation.