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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-04-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2018)070 |
| Summary: | 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. |
|---|---|
| ISSN: | 1029-8479 |