Closed star product on noncommutative ${\mathbb{R}}^3$ and scalar field dynamics

Tajron Jurić, Timothé Poulain, Jean-Christophe Wallet

We consider the noncommutative space ${\mathbb{R}}_{\theta }^3$, a deformation of ${\mathbb{R}}^3$ for which the star product is closed for the trace functional. We study one-loop IR and UV pr…