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.
Keywords
Cite
@article{arxiv.hep-th/0703269,
title = {Supersymmetric Euler-Heisenberg effective action: Two-loop results},
author = {Sergei M. Kuzenko and Simon J. Tyler},
journal= {arXiv preprint arXiv:hep-th/0703269},
year = {2010}
}
Comments
27 pages, 2 eps figures, LaTeX; V2: typos corrected, comments and reference added