Two-loop self-dual Euler-Heisenberg Lagrangians (II): Imaginary part and Borel analysis

@article{Dunne2002TwoloopSE,
  title={Two-loop self-dual Euler-Heisenberg Lagrangians (II): Imaginary part and Borel analysis},
  author={Gerald V. Dunne and Christian Schubert},
  journal={Journal of High Energy Physics},
  year={2002},
  volume={2002},
  pages={042-042}
}
We analyze the structure of the imaginary part of the two-loop Euler-Heisenberg QED effective lagrangian for a constant self-dual background. The novel feature of the two-loop result, compared to one-loop, is that the prefactor of each exponential (instanton) term in the imaginary part has itself an asymptotic expansion. We also perform a high-precision test of Borel summation techniques applied to the weak-field expansion, and find that the Borel dispersion relations reproduce the full… 

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