Two-loop superfield effective potential for a $\mathcal{N}=2$, $d=3$ supersymmetric quantum electrodynamics with higher derivatives

Abstract

In the $\mathcal{N}=2$, $d=3$ superspace, we consider a higher-derivative generalization of the supersymmetric quantum electrodynamics, where the higher-derivative operator is a polynomial function of the d'Alembertian with arbitrary degree. For this theory, we use the background field quantization in a higher-derivative $R_{\xi }$ gauge to explicitly calculate the superfield effective potential up to two loops in the Källerian approximation. This superfield effective potential is obtained in a closed form and in terms of elementary functions.

18 pages, version accepted to PRD

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Cited by in corpus (1)

• Higher-derivative $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetric Maxwell-Chern-Simons theories at one loop in superspace