11 research outputs found

    Twisted Grosse-Wulkenhaar ¤ĽÔőć4\phi^{\star 4} model: dynamical noncommutativity and Noether currents

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    This paper addresses the computation of Noether currrents for the renormalizable Grosse-Wulkenhaar (GW) ¤ĽÔőć4\phi^{\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

    Renormalization group flow of coupled tensorial group field theories: Towards the Ising model on random lattices

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    International audienceWe introduce a new family of tensorial field theories by coupling different fields in a nontrivial way, with a view towards the investigation of the coupling between matter and gravity in the quantum regime. As a first step, we consider the simple case with two tensors of the same rank coupled together, with Dirac like a kinetic kernel. We focus especially on rank-3 tensors, which lead to a power counting just-renormalizable model, and interpret Feynman graphs as Ising configurations on random lattices. We investigate the renormalization group flow for this model, using two different and complementary tools for approximations, namely, the effective vertex expansion method and finite-dimensional vertex expansion for the flowing action. Due to the complicated structure of the resulting flow equations, we divided the work into two parts. In this first part, we only investigate the fundamental aspects on the construction of the model and the different ways to get tractable renormalization group equations, while their numerical analysis will be addressed in a companion paper

    Noncommutative Dirac and Klein-Gordon oscillators in the background of cosmic string: spectrum and dynamics

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    From a study of an oscillator in a 4D4D NC spacetime, we establish the Hamilton equations of motion. The formers are solved to give the oscillator position and momentum coordinates. These coordinates are used to build a metric similar to that describing a cosmic string. On this basis, Dirac and Klein-Gordon oscillators are investigated. Their spectrum and dynamics are analysed giving rise to novel interesting properties