Abstract
We study some aspects of perturbation theory in supersymmetric Abelian gauge theories with massive charged matter. In general gauges, infrared (IR) divergences and nonlocal behavior arise in one particle irreducible (1PI) diagrams, associated with a term in the propagator for the vector superfield. We examine this structure in supersymmetric QED. The IR divergences are gauge dependent and must cancel in physical quantities like the electron pole mass. We demonstrate that cancellation takes place in a nontrivial way, amounting to a reorganization of the perturbative series from powers of to powers of . We also show how these complications are avoided in cases where a Wilsonian effective action can be defined.
- Received 18 August 2016
DOI:https://doi.org/10.1103/PhysRevD.94.095003
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