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The quantization of the non-commutative N=1, U(1) super-Yang-Mills action isperformed in the superfield formalism. We calculate the one-loop corrections tothe self-energy of the vector superfield. Although the power-counting theorempredicts quadratic ultraviolet and infrared divergences, there are actuallyonly logarithmic UV and IR divergences, which is a crucial feature ofnon-commutative supersymmetric field theories.Comment: 18 pages, latex, uses feynmf package; references added, Wess-Zumino  gauge remove

NONCOMMUTATIVE U(1) SUPER-YANG–MILLS THEORY: PERTURBATIVE SELF-ENERGY CORRECTIONS