The worldline formalism in strong-field QED

Abstract

The worldline formalism provides an alternative to Feynman diagrams that has been found particularly useful for external-field calculations in quantum electrodynamics. Here I summarize its present range of applications, which includes Schwinger pair creation, photon splitting in constant fields and plane-wave backgrounds, as well as nonlinear Compton scattering in constant fields.

arXiv comment10 pages, 2 figures, extended version of talk given at LPHYS'22, Seminar 9: Extreme Light Technologies, Science, and Applications

References in corpus (26)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• Worldline Instantons II: The Fluctuation Prefactor
• Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
• On the Calculation of Effective Actions by String Methods
• Photon Splitting in a Strong Magnetic Field: Recalculation and Comparison With Previous Calculations
• Derivative Expansion of the Effective Action for QED in 2+1 and 3+1 dimensions
• An Addendum to the Heisenberg-Euler effective action beyond one loop
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part I
• Dynamically assisted Sauter-Schwinger effect in inhomogeneous electric fields
• Derivative Expansion for the One-Loop Effective Lagrangian in QED
• On the string-inspired approach to QED in external field
• One loop photon-graviton mixing in an electromagnetic field: Part 1
• Localisation in worldline pair production and lightfront zero-modes
• One-particle reducible contribution to the one-loop spinor propagator in a constant field
• Bern-Kosower Rule for Scalar QED
• Closed-form two-loop Euler-Heisenberg Lagrangian in a self-dual background
• Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
• Master formulas for the dressed scalar propagator in a constant field
• One loop photon-graviton mixing in an electromagnetic field: Part 2
• One-particle reducible contribution to the one-loop scalar propagator in a constant field
• Vacuum Polarization in QED with World-Line Methods
• Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes
• The worldline approach to helicity flip in plane waves
• Worldline instantons for nonlinear Breit-Wheeler pair production and Compton scattering
• Quantum tunnelling from vacuum in multidimensions

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