English

The Euler-Heisenberg Lagrangian beyond one loop

High Energy Physics - Theory 2015-06-03 v1

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.

Keywords

Cite

@article{arxiv.1112.1049,
  title  = {The Euler-Heisenberg Lagrangian beyond one loop},
  author = {Idrish Huet and Michel Rausch de Traubenberg and Christian Schubert},
  journal= {arXiv preprint arXiv:1112.1049},
  year   = {2015}
}

Comments

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

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