The Euler-Heisenberg Lagrangian beyond one loop

Details The Euler-Heisenberg Lagrangian beyond one loop The Euler-Heisenberg Lagrangian beyond one loop

2011-12-05

arxiv.org/abs/1112.1049v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures, talk given by Christian Schubert at QFEXT11, Benasque, Spain, Sept. 18-24, 2011, to appear in the confere

Scientific paper

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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