PoS - Proceedings of Science
Volume 303 - Loops and Legs in Quantum Field Theory (LL2018) - Parallel 5
Multiloop Euler-Heisenberg Lagrangians, Schwinger pair creation, and the QED N - photon amplitudes
I. Huet, M. Rausch de Traubenberg and C. Schubert*
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Published on: October 02, 2018
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.
DOI: https://doi.org/10.22323/1.303.0035
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