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arXiv · 1112.1049

The Euler-Heisenberg Lagrangian beyond one loop

Idrish Huet·Michel Rausch de Traubenberg·Christian Schubert
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Abstract

We review what is presently known about higher loop corrections to the Euler-Heisenberg Lagrangian and its Scalar QED analogue. The use of those corrections as a tool for the study of the properties of the QED perturbation series is outlined. As a further step in a long-term effort to prove or disprove the convergence of the N photon amplitudes in the quenched approximation, we present a parameter integral representation of the three-loop Euler-Heisenberg Lagrangian in 1+1 dimensional QED, obtained in the worldline formalism.

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Idrish Huet, Michel Rausch de Traubenberg, Christian Schubert. 2011-12-05. The Euler-Heisenberg Lagrangian beyond one loop. https://doi.org/10.1142/s2010194512007507

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