Non-commutative U(1) Super-Yang-Mills Theory: Perturbative Self-Energy Corrections

A.A. Bichl , M. Ertl , A. Gerhold , J.M. Grimstrup , H. Grosse , L. Popp , V. Putz , M. Schweda

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R. Wulkenhaar

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classification ✦ hep-th

keywords non-commutativecorrectionsdivergencesself-energysuper-yang-millssuperfieldactionactually

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The quantization of the non-commutative N=1, U(1) super-Yang-Mills action is performed in the superfield formalism. We calculate the one-loop corrections to the self-energy of the vector superfield. Although the power-counting theorem predicts quadratic ultraviolet and infrared divergences, there are actually only logarithmic UV and IR divergences, which is a crucial feature of non-commutative supersymmetric field theories.

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Non-commutative U(1) Super-Yang-Mills Theory: Perturbative Self-Energy Corrections

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