Low-energy dynamics in N = 2 super QED: Two-loop approximation

Details Low-energy dynamics in N = 2 super QED: Two-loop approximation Low-energy dynamics in N = 2 super QED: Two-loop approximation

2003-08-21

arxiv.org/abs/hep-th/0308136v3

JHEP 0310 (2003) 029

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, latex, 4 EPS figures. V2: misprints corrected. V3: error in eq. (2.33) corrected, conclusions unchanged

Scientific paper

10.1088/1126-6708/2003/10/029

The two-loop (Euler-Heisenberg-type) effective action for N = 2 supersymmetric QED is computed using the N = 1 superspace formulation. The effective action is expressed as a series in supersymmetric extensions of F^{2n}, where n=2,3,..., with F the field strength. The corresponding coefficients are given by triple proper-time integrals which are evaluated exactly. As a by-product, we demonstrate the appearance of a non-vanishing F^4 quantum correction at the two-loop order. The latter result is in conflict with the conclusion of hep-th/9710142 that no such quantum corrections are generated at two loops in generic N = 2 SYM theories on the Coulomb branch. We explain a subtle loophole in the relevant consideration of hep-th/9710142 and re-derive the F^4 term from harmonic supergraphs.

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