Noncommutative ${\cal N}=1,2$ super U(N) Yang-Mills: UV/IR mixing and effective action results at one loop

Details Noncommutative ${\cal N}=1,2$ super U(N) Yang-Mills: UV/IR mixing and effective action results at one loop Noncommutative ${\cal N}=1,2$ super U(N) Yang-Mills: UV/IR mixing and effective action results at one loop

2000-12-01

arxiv.org/abs/hep-th/0012009v2

Phys.Lett. B502 (2001) 265-273

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 14 pages

Scientific paper

10.1016/S0370-2693(01)00194-0

Noncommutative ${\cal N}=1$ and ${\cal N}=2$ supersymmetric Yang-Mills theories with gauge group U(N) are studied here using the background field method and superspace background covariant D-algebra in perturbation theory. At one loop divergences arise only in the two-point functions. They are logarithmic UV/IR divergences in the planar/nonplanar sectors that play a role dual to each other. We compute the planar and non planar contributions to the three- and four-point functions with vector external lines. We find that the three-point function vanishes, while the four-point function receives contributions both from vector and from chiral matter loops.

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