Four-dimensional supersymmetric massive QED

TL;DR

The paper constructs a four-dimensional N=1 supersymmetric Proca (massive Abelian vector) theory and couples it to chiral matter within the superfield formalism. It analyzes the one-loop effective action for the chiral multiplet, identifying two classes of supergraphs: pure vector loops and mixed loops with a dressed propagator. The mixed-loop contribution vanishes under dimensional regularization, leaving a finite one-loop Kähler potential $K^{(1)}=rac{1}{16\pi^2}(m^2+g^2\Phi\bar{\Phi})\ln\frac{m^2+g^2\Phi\bar{\Phi}}{\mu^2}$. The results illustrate Proca-like features in the vector propagator and establish a baseline for further coupling analyses of the massive vector to additional fields in SUSY theories.

Abstract

We discuss the massive extension of the four-dimensional superfield QED. For this theory, we calculate the one-loop effective potential of the chiral matter.

Figures (4)

• Figure 1: Pure real field loops contributions.
• Figure 2: Dressed real field propagator.
• Figure 3: A link contributing to a mixed loop.
• Figure 4: Mixed loops contributions.