The two-loop Euler-Heisenberg-type effective action for ≤ 1 supersymmetric QED is computed within the background field approach. The background vector multiplet is chosen to obey the constraints D αWβ ≤ D(αW β) ≤ 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 ≤ 2 supersymmetric QED, due to a lesser amount of supersymmetry. Similarly to Ritus' analysis of 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. © SISSA 2007.
CITATION STYLE
Kuzenko, S. M., & Tyler, S. J. (2007). Supersymmetric Euler-Heisenberg effective action: Two-loop results. Journal of High Energy Physics, 2007(5). https://doi.org/10.1088/1126-6708/2007/05/081
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