On the low-energy limit of the QED N-photon amplitudes: part 2

Abstract

In recent work, Gies and Karbstein have discovered that the two-loop Euler-Heisenberg Lagrangians for scalar and spinor QED have non-vanishing reducible contributions in addition to the well-studied irreducible ones. This invalidates previous applications of those Lagrangians to the computation of the two-loop $N$-photon amplitudes in the low energy limit. Here we compute the corrections to those amplitudes due to the reducible contributions.

arXiv comment14 pages, 2 figures, 2 tables

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Cited by in corpus (10)

• Advances in QED with intense background fields
• An all-loop result for the strong magnetic field limit of the Heisenberg-Euler effective Lagrangian
• Reducible contributions to quantum electrodynamics in external fields
• Three-loop Euler-Heisenberg Lagrangian in 1+1 QED, part 1: single fermion-loop part
• The QED four-photon amplitudes off-shell: part 2
• The QED four -- photon amplitudes off-shell: part 1
• New Techniques for Worldline Integration
• Low-energy multi-photon scattering at tree-level and one-loop order in a homogeneous electromagnetic field
• Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes
• Resurgence in the Scalar Quantum Electrodynamics Euler-Heisenberg Lagrangian