%0 Journal Article
%A Pérez Martín, Carmelo
%A Trampetic, Josip
%A Youd, Jiangyang
%T Quantum noncommutative ABJM theory: first steps
%D 2018
%@ 1029-8479
%U https://hdl.handle.net/20.500.14352/12174
%X We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N = 6 supersymmetric. For the U(1)_(κ) × U(1)_(−κ) case, we compute all one-loop 1PI two and three point functions in the Landau gauge and show that they are UV finite and have well-defined commutative limits θ^(µν) → 0, corresponding exactly to the 1PI functions of the ordinary ABJM field theory. This result also holds for all one-loop functions which are UV finite by power counting. It seems that the noncommutative quantum ABJM field theory is free from the noncommutative IR instabilities.
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