Supersymmetric Euler-Heisenberg effective action: Two-loop results

Abstract

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.

27 pages, 2 eps figures, LaTeX; V2: typos corrected, comments and reference added

References in corpus (5)

• Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes
• On the Background Field Method Beyond One Loop: A manifestly covariant derivative expansion in super Yang-Mills theories
• Two-loop self-dual Euler-Heisenberg Lagrangians (II): Imaginary part and Borel analysis
• Low-energy dynamics in N = 2 super QED: Two-loop approximation
• Relaxed super self-duality and effective action

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