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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·R. Wulkenhaar
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Abstract

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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A. A. Bichl, M. Ertl, A. Gerhold, J. M. Grimstrup, H. Grosse, L. Popp, V. Putz, M. Schweda, R. Wulkenhaar. 2003-01-17. Non-commutative U(1) Super-Yang-Mills Theory: Perturbative Self-Energy Corrections. https://doi.org/10.1142/s0217751x04018221

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