Sergei M. Kuzenko and Simon J. Tyler JHEP05(2007)081 doi:10.1088/1126-6708/2007/05/081
Supersymmetric Euler-Heisenberg effective action: two-loop results
Sergei M. Kuzenko and Simon J. Tyler
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= 1 supersymmetric QED is computed within the background field approach. The background vector multiplet is chosen to obey the constraints DαWβ = D(αWβ) = 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.
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E-print Number: hep-th/0703269
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Issue 05 (May 2007)
Received 20 April 2007, accepted for publication 13 May 2007
Published 25 May 2007
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Supersymmetric Euler-Heisenberg effective action: two-loop results
Sergei M. Kuzenko and Simon J. Tyler JHEP05(2007)081
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