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Quantum noncommutative ABJM theory: first steps

Carmelo, Martin P.; Trampetić, Josip; You, Jiangyang (2018) Quantum noncommutative ABJM theory: first steps. Journal of High Energy Physics, 2018 (4). ISSN 1126-6708

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Abstract

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 θμν → 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.

Item Type: Article
Uncontrolled Keywords: Chern-Simons Theories ; Non-Commutative Geometry
Subjects: NATURAL SCIENCES > Physics
Divisions: Division of Physical Chemistry
Projects:
Project titleProject leaderProject codeProject type
Ruđer Bošković Institute: Twinning for a step forward of the Theoretical Physics Division-RBI-T-WINNINGFabrizio NESTI692194EK
prema kvantnoj gravitaciji: nekomutativna geometrija, teorija polja i kozmologija-tqgngftcStjepan MeljanacIP-2014-09-9582HRZZ
Depositing User: Jiangyang You
Date Deposited: 11 Sep 2019 08:17
Last Modified: 11 Sep 2019 08:18
URI: http://fulir.irb.hr/id/eprint/5005
DOI: 10.1007/JHEP04(2018)070

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