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Supersymmetric Euler-Heisenberg effective action: Two-loop results

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arxiv hep-th/0703269 v2 pith:6HDID3EH submitted 2007-03-29 hep-th

classification hep-th
keywords two-loopactioneffectivesupersymmetricbackgroundcarriedamountanalysis
verification ladder T0 review T1 audit T2 compute T3 formal

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The two-loop Euler-Heisenberg-type effective action for N = 1 supersymmetric QED is computed within the background field approach. The background vector multiplet is chosen to obey the constraints D_\a W_\b = D_{(\a} W_{\b)} = const, but is otherwise completely arbitrary. Technically, this calculation proves to be much more laborious as compared with that carried out in hep-th/0308136 for N = 2 supersymmetric QED, due to a lesser amount of supersymmetry. Similarly to Ritus' analysis for spinor and scalar QED, the two-loop renormalisation is carried out using proper-time cut-off regularisation. A closed-form expression is obtained for the holomorphic sector of the two-loop effective action, which is singled out by imposing a relaxed super self-duality condition.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On three-dimensional ${\cal N}=4$ supersymmetry: maximally supersymmetric backgrounds and massive deformations

    hep-th 2025-04 conditional novelty 7.0 of 10

    The paper classifies maximally supersymmetric 3D N=4 backgrounds and constructs massive deformations of N=4 theories on deformed Minkowski superspace, including a one-loop derivation of Chern-Simons terms.

  2. Nonlocal spinor superfield theory

    hep-th 2026-02 conditional novelty 6.0 of 10

    A three-dimensional nonlocal spinor superfield model is proposed and its one-loop effective potential is computed in local and nonlocal limits.

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