Quantum noncommutative ABJM field theory: four- & six-point functions

A bstract Following our previous paper “Quantum noncommutative ABJM theory: first steps” [JHEP 1804 (2018) 070)], in this article we investigate one-loop 1PI four- & six-point functions by using the component formalism in the Landau gauge and show that they are UV finite and have well-defined θ μν → 0 limit. Those results are also valid for all one-loop functions being UV finite by power-counting. In summary, taking into account results from previous [JHEP 1804 (2018) 070)] and this paper we conclude that, at least at the 1-loop order, the NCABJM theory is free from the noncommutative UV and IR instabilities, and that in the limit θ μν → 0 it flows to the ordinary ABJM theory.