Multiloop Euler-Heisenberg Lagrangians, Schwinger pair creation, and the QED N - photon amplitudes
High Energy Physics - Theory
2018-07-17 v1
Abstract
An update is given on our long-term effort to perform a three-loop check on the Affleck-Alvarez-Manton/Lebedev-Ritus exponentiation conjecture for the imaginary part of the Euler-Heisenberg Lagrangian, using 1+1 dimensional QED as a toy model. After reviewing the history and significance of the conjecture, we present trigonometric integral representations for the single electron loop contributions to the three-loop Lagrangian, and develop a symmetry-based method for the calculation of their weak-field expansion coefficients.
Keywords
Cite
@article{arxiv.1807.05938,
title = {Multiloop Euler-Heisenberg Lagrangians, Schwinger pair creation, and the QED N - photon amplitudes},
author = {Idrish Huet and Michel Rausch de Traubenberg and Christian Schubert},
journal= {arXiv preprint arXiv:1807.05938},
year = {2018}
}
Comments
10 pages, 8 figures, Talk given by Christian Schubert at Loops and Legs 2018 (St. Goar, April 29 - May 4, 2018)