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

TL;DR

This paper quantifies one-loop self-energy corrections in non-commutative N=1, U(1) super-Yang-Mills theory, revealing that divergences are only logarithmic despite power-counting predictions of quadratic divergences.

Contribution

It provides the first detailed calculation of one-loop self-energy corrections in non-commutative supersymmetric gauge theories, highlighting the divergence structure.

Findings

Only logarithmic UV and IR divergences are present.

Quadratic divergences predicted by power-counting are absent.

Supersymmetry influences divergence behavior in non-commutative theories.

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.