Quantum noncommutative ABJM theory: first steps

Abstract We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N $$ \mathcal{N} $$ = 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...

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Main Authors:	Carmelo P. Martin, Josip Trampetic, Jiangyang You
Format:	Article
Language:	English
Published:	SpringerOpen 2018-04-01
Series:	Journal of High Energy Physics
Subjects:	Chern-Simons Theories Non-Commutative Geometry
Online Access:	http://link.springer.com/article/10.1007/JHEP04(2018)070

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spelling	doaj-428c707f060346989cc64e254300dd3c2020-11-24T21:51:14ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018414410.1007/JHEP04(2018)070Quantum noncommutative ABJM theory: first stepsCarmelo P. Martin0Josip Trampetic1Jiangyang You2Departamento de Física Teórica I, Facultad de Ciencias Físicas, Universidad Complutense de MadridRudjer Bošković Institute, Division of Experimental PhysicsRudjer Bošković Institute, Division of Physical ChemistryAbstract We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N $$ \mathcal{N} $$ = 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.http://link.springer.com/article/10.1007/JHEP04(2018)070Chern-Simons TheoriesNon-Commutative Geometry
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Carmelo P. Martin Josip Trampetic Jiangyang You
spellingShingle	Carmelo P. Martin Josip Trampetic Jiangyang You Quantum noncommutative ABJM theory: first steps Journal of High Energy Physics Chern-Simons Theories Non-Commutative Geometry
author_facet	Carmelo P. Martin Josip Trampetic Jiangyang You
author_sort	Carmelo P. Martin
title	Quantum noncommutative ABJM theory: first steps
title_short	Quantum noncommutative ABJM theory: first steps
title_full	Quantum noncommutative ABJM theory: first steps
title_fullStr	Quantum noncommutative ABJM theory: first steps
title_full_unstemmed	Quantum noncommutative ABJM theory: first steps
title_sort	quantum noncommutative abjm theory: first steps
publisher	SpringerOpen
series	Journal of High Energy Physics
issn	1029-8479
publishDate	2018-04-01
description	Abstract We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N $$ \mathcal{N} $$ = 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.
topic	Chern-Simons Theories Non-Commutative Geometry
url	http://link.springer.com/article/10.1007/JHEP04(2018)070
work_keys_str_mv	AT carmelopmartin quantumnoncommutativeabjmtheoryfirststeps AT josiptrampetic quantumnoncommutativeabjmtheoryfirststeps AT jiangyangyou quantumnoncommutativeabjmtheoryfirststeps
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Quantum noncommutative ABJM theory: first steps

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