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

Daniela Zanon
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Abstract

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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Daniela Zanon. 2000-12-02. Noncommutative ${\cal N}=1,2$ super U(N) Yang-Mills: UV/IR mixing and effective action results at one loop. https://doi.org/10.1016/s0370-2693(01)00194-0

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