Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes

Details Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes

2002-04-30

arxiv.org/abs/hep-th/0205004v2

JHEP 0208 (2002) 053

Physics

High Energy Physics

High Energy Physics - Theory

24 pp, no figures

Scientific paper

10.1088/1126-6708/2002/08/053

We show that, for both scalar and spinor QED, the two-loop Euler-Heisenberg effective Lagrangian for a constant Euclidean self-dual background has an extremely simple closed-form expression in terms of the digamma function. Moreover, the scalar and spinor QED effective Lagrangians are very similar to one another. These results are dramatic simplifications compared to the results for other backgrounds. We apply them to a calculation of the low energy limits of the two-loop massive N-photon `all +' helicity amplitudes. The simplicity of our results can be related to the connection between self-duality, helicity and supersymmetry.

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