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

The quantization of the non-commutative N=1, U(1) super-Yang-Mills action is performed. We calculate the one-loop corrections to the self-energy of the super vector field. Although the power-counting theorem predicts quadratic ultraviolet and infrared divergences, there are actually only logarithmic UV and IR divergences unless one chooses the Wess-Zumino gauge, for which the divergences are indeed quadratic. This could indicate that UV/IR mixing might be unphysical.