On the supersymmetric pseudo-QED

Within the superfield approach, we discuss the three-dimensional supersymmetric (SUSY) pseudo-QED. We prove that it is all-loop renormalizable. We demonstrate that the SUSY pseudo-QED action can be generated as a quantum correction from the coupling of a spinor gauge superfield to a set of N massless complex scalar superfields. Afterwards, we calculate the two-point function of the scalar superfields in the pseudo-QED which displays a divergence vanishing in a certain gauge.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

In this paper, the three-dimensional supersymmetric pseudo-QED is discussed within the superfield approach. It is proven to be all-loop renormalizable. The action of SUSY pseudo-QED is demonstrated to be generated as a quantum correction from the coupling of a spinor gauge superfield to a set of N massless complex scalar superfields. Finally, the divergence of the two-point function of the scalar superfields in pseudo-QED is calculated and found to vanish in a certain gauge.