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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2507.04823 |
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| _version_ | 1866917138315345920 |
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| author | Martin, Carmelo P. Trampetic, Josip You, Jiangyang |
| author_facet | Martin, Carmelo P. Trampetic, Josip You, Jiangyang |
| contents | Following our previous paper Quantum noncommutative ABJM theory: first steps, JHEP {\bf 1804} (2018) 070), in this article we investigate one-loop 1PI four-, and six-point functions by using the component formalism in the Landau gauge and show that they are UV finite and have well-defined $(θ^{μν}\rightarrow 0)$ limit. Those results also hold for all one-loop functions which are UV finite by power counting. In summary, taking into account results from previous paper, JHEP {\bf 1804} (2018) 070), and this paper, we conclude that, at least at one-loop order, the NCABJM theory is free from the noncommutative UV and IR instabilities, and that in the limit $θ^{μν}\rightarrow 0$ it flows to the ordinary ABJM theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04823 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum noncommutative ABJM field theory: four- and six-point functions Martin, Carmelo P. Trampetic, Josip You, Jiangyang High Energy Physics - Theory Following our previous paper Quantum noncommutative ABJM theory: first steps, JHEP {\bf 1804} (2018) 070), in this article we investigate one-loop 1PI four-, and six-point functions by using the component formalism in the Landau gauge and show that they are UV finite and have well-defined $(θ^{μν}\rightarrow 0)$ limit. Those results also hold for all one-loop functions which are UV finite by power counting. In summary, taking into account results from previous paper, JHEP {\bf 1804} (2018) 070), and this paper, we conclude that, at least at one-loop order, the NCABJM theory is free from the noncommutative UV and IR instabilities, and that in the limit $θ^{μν}\rightarrow 0$ it flows to the ordinary ABJM theory. |
| title | Quantum noncommutative ABJM field theory: four- and six-point functions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.04823 |