Vacuum Polarization in QED with World-Line Methods

Abstract

Motivated by several recent papers on string-inspired calculations in QED, we here present our own use of world-line techniques in order to calculate the vacuum polarization and effective action in scalar and spinor QED with external arbitrary constant electromagnetic field configuration.

9 pages

References in corpus (1)

• QED Effective Action at Finite Temperature: Two-Loop Dominance

Cited by in corpus (17)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Photon propagation in slowly varying inhomogeneous electromagnetic fields
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• The photon polarization tensor in pulsed Hermite- and Laguerre-Gaussian beams
• Vacuum polarization tensor in inhomogeneous magnetic fields
• Master formulas for the dressed scalar propagator in a constant field
• The worldline approach to helicity flip in plane waves
• Reducible contributions to quantum electrodynamics in external fields
• Worldline instantons for nonlinear Breit-Wheeler pair production and Compton scattering
• Derivative corrections to the Heisenberg-Euler effective action
• Propagator from Nonperturbative Worldline Dynamics
• Master formulas for photon amplitudes in a combined constant and plane-wave background field
• The worldline formalism in strong-field QED
• On Analytic Properties of the Photon Polarization Function in a Background Magnetic Field
• Low-energy multi-photon scattering at tree-level and one-loop order in a homogeneous electromagnetic field
• Photon emission in a constant magnetic field in 2+1 dimensional space-time
• Plane Wave Backgrounds in the Worldline Formalism