The Euler-Heisenberg Lagrangian beyond one loop

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.

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

References in corpus (6)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Worldline Instantons and Pair Production in Inhomogeneous Fields
• Pair production in inhomogeneous fields
• Quantum diffusion of magnetic fields in a numerical worldline approach
• On the low-energy limit of the QED N-photon amplitudes
• Two-Loop Vacuum Diagrams in Background Field and Heisenberg-Euler Effective Action

Cited by in corpus (14)

• An Addendum to the Heisenberg-Euler effective action beyond one loop
• Causality, Unitarity, and the Weak Gravity Conjecture
• An all-loop result for the strong magnetic field limit of the Heisenberg-Euler effective Lagrangian
• Sudden breakdown of effective field theory near cool Kerr-Newman black holes
• One-particle reducible contribution to the one-loop scalar propagator in a constant field
• String-inspired representations of photon/gluon amplitudes
• The worldline approach to helicity flip in plane waves
• Nonlinear Quantum Electrodynamics in Dirac materials
• Derivative corrections to the Heisenberg-Euler effective action
• Tadpole diagrams in constant electromagnetic fields
• Propagator from Nonperturbative Worldline Dynamics
• Magnetic response from constant backgrounds to Coulomb sources
• Vacuum Magnetic Birefringence Experiment as a probe of Dark Sector
• Resurgence in the Scalar Quantum Electrodynamics Euler-Heisenberg Lagrangian