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<p>Following our previous paper “Quantum noncommutative ABJM theory: first steps” [JHEP <b>1804</b> (2018) 070)], in this article we investigate one-loop 1PI four- &amp; six-point functions by using the component formalism in the Landau gauge and show that they are UV finite and have well-defined <i>θ</i><sup><i>μν</i></sup> → 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 <b>1804</b> (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 <i>θ</i><sup><i>μν</i></sup> → 0 it flows to the ordinary ABJM theory.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月9日

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  • Carmelo P. Martin,
  • Josip Trampetic,
  • Jiangyang You

摘要

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 θμν → 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 θμν → 0 it flows to the ordinary ABJM theory.