Supersymmetric Euler-Heisenberg effective action: two-loop results
Sergei M. Kuzenko; Simon J. Tyler; Sergei M. Kuzenko; School of Physics M013, The University of Western Australia, 35 Stirling Highway, Crawley W.A. 6009, Australia; Simon J. Tyler; School of Physics M013, The University of Western Australia, 35 Stirling Highway, Crawley W.A. 6009, Australia
Журнал:
Journal of High Energy Physics
Дата:
2007-05-01
Аннотация:
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<sub>α</sub>W<sub>β</sub> = D<sub>(α</sub>W<sub>β)</sub> = 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 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.
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