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

Martin, Carmelo P.; Trampetić, Josip; You, Jiangyang (2025) Quantum noncommutative ABJM field theory: four- & six-point functions. Journal of High Energy Physics, 2025 (12). ISSN 1029-8479

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Abstract

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 theta mu nu -> 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 theta mu nu -> 0 it flows to the ordinary ABJM theory.

Item Type:	Article
Additional Information:	Preprint version retrieved from arXiv: https://doi.org/10.48550/arXiv.2507.04823
Uncontrolled Keywords:	Non-commutative gauge theory; Supersymmetry; Chern-Simons theory
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Division of Experimental Physics Division of Physical Chemistry
Depositing User:	Ana Zečević
Date Deposited:	20 May 2026 07:57
URI:	https://fulir.irb.hr:/id/eprint/11974
DOI:	10.1007/jhep12(2025)051

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