Heisenberg-Euler Effective Lagrangians : Basics and Extensions

Abstract

I present a pedagogical review of Heisenberg-Euler effective Lagrangians, beginning with the original work of Heisenberg and Euler, and Weisskopf, for the one loop effective action of quantum electrodynamics in a constant electromagnetic background field, and then summarizing some of the important applications and generalizations to inhomogeneous background fields, nonabelian backgrounds, and higher loop effective Lagrangians.

82 pages; to appear in Ian Kogan Memorial Collection, ``From Fields to Strings: Circumnavigating Theoretical Physics''

References in corpus (3)

• Multi-Parton Amplitudes in Gauge Theories
• Analytic results for the effective action
• Operator Product Expansion and Calculation of the Two-Loop Gell-Mann-Low Function

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• Effective Action of QED in Electric Field Backgrounds
• Knotted solutions, from electromagnetism to fluid dynamics
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• Dynamically assisted Sauter-Schwinger effect - non-perturbative versus perturbative aspects
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• Density matrix of a quantum field in a particle-creating background
• Quantization of charged fields in the presence of critical potential steps
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• Wigner function and pair production in parallel electric and magnetic fields
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• Sudden breakdown of effective field theory near cool Kerr-Newman black holes
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• Renormalization Flow of Nonlinear Electrodynamics
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• Photon propagation in slowly varying electromagnetic fields
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