Noncommutative field theories on $R_{\lambda }^3$: Towards UV/IR mixing freedom

Patrizia Vitale, Jean-Christophe Wallet

We consider the noncommutative space ${\mathbb{R}}_{\lambda }^3$, a deformation of the algebra of functions on ${\mathbb{R}}^3$ which yields a "foliation" of ${\mathbb{R}}^3$ into fuzzy spheres.…