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arXiv · 1305.4815

Two-loop low-energy effective actions in N=2 and N=4 three-dimensional SQED

I. L. Buchbinder·B. S. Merzlikin·I. B. Samsonov
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Abstract

We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2 and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with slowly-varying N=2 gauge superfield. Using these propagators we compute two-loop effective actions in the N=2 and N=4 SQED as the functionals of superfield strengths and their covariant spinor derivatives. The obtained effective actions contain new terms having no four-dimensional analogs. As an application, we find two-loop quantum corrections to the moduli space metric in the N=2 SQED.

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I. L. Buchbinder, B. S. Merzlikin, I. B. Samsonov. 2013-07-02. Two-loop low-energy effective actions in N=2 and N=4 three-dimensional SQED. https://doi.org/10.1007/jhep07(2013)012

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