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arXiv · 2301.07139

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

F. S. Gama
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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 K\"{a}llerian approximation. This superfield effective potential is obtained in a closed form and in terms of elementary functions.

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F. S. Gama. 2023-01-17. Two-loop superfield effective potential for a $\mathcal{N}=2$, $d=3$ supersymmetric quantum electrodynamics with higher derivatives. https://doi.org/10.1103/physrevd.107.125007

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