On the alternative formulation of the three-dimensional noncommutative superspace

2014/06/30 by F. S. Gama, J. R. Nascimento, A. Yu. Petrov · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #D-term #Effective action #F-term #Geometry #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Particle physics theoretical and experimental studies #Physics #Point (geometry) #Superfield #Superspace #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1142/s0217751x1650055x

published in International Journal of Modern Physics A 31(10), 1650055 (World Scientific) · 14 pages, accepted to International Journal of Modern Physics A

arxiv created 2016/03/30 · openalex publication_date 2016/04/06 · arxiv updated 2016/04/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper, we propose a new version for the noncommutative superspace in 3D. This version is shown to be convenient for performing quantum calculations. In the paper, we use the theory of the chiral superfield as a prototype for possible generalizations, calculating the one-loop two-point function of a chiral superfield and the one-loop low-energy effective action in this theory.

Citations

• Low-energy effective actions in three-dimensional extended SYM theories
• Construction of the effective action in nonanticommutative supersymmetric field theories
• Non(anti)commutative SYM theory: renormalization in superspace
• Renormalizability of non(anti)commutative gauge theories with Script N = 1/2 supersymmetry