The One Loop Effective Action of QED for a General Class of Electric Fields

Abstract

We compute the effective action of QED at one loop order for an electric field which points in the $\hat{z}$ direction and depends arbitrarily upon the light cone time coordinate, $x^{+}=(x^0+x^3)/\sqrt{2}$. This calculation generalizes Schwinger's formula for the vacuum persistence probability in the presence of a constant electric field.

9 pages, LaTeX 2 epsilon

References in corpus (1)

• Pair creation and axial anomaly in light-cone $QE{D}_2$

Cited by in corpus (27)

• Advances in QED with intense background fields
• Heisenberg-Euler Effective Lagrangians : Basics and Extensions
• New Strong-Field QED Effects at ELI: Nonperturbative Vacuum Pair Production
• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• Pair production in inhomogeneous fields
• Effective Action of QED in Electric Field Backgrounds
• Dynamically assisted Sauter-Schwinger effect in inhomogeneous electric fields
• Nonperturbative pair production in interpolating fields
• Photon-stimulated production of electron-positron pairs in electric field
• Localisation in worldline pair production and lightfront zero-modes
• Pair production: the view from the lightfront
• Non trivial generalizations of the Schwinger pair production result II
• Pair production from residues of complex worldline instantons
• Ultraviolet Regularisation in de Sitter Space
• WKB approach to pair creation in spacetime-dependent fields
• Non trivial generalizations of the Schwinger pair production result
• Generalized Schwinger effect and particle production in an expanding universe
• QED Effective Action in Magnetic Field Backgrounds and Electromagnetic Duality
• $(\mathcal{F},\mathcal{G})$-summed form of the QED effective action
• Effective actions at finite temperature
• Generalizing the ADM Computation to Quantum Field Theory
• Perturbative neutrino pair creation by an external source
• Thermal effective action for 1+1 dimensional massive QED
• QED Vacuum Loops and Dark Energy
• Summing all the eikonal graphs. II
• The Axial Anomaly in D=3+1 Light-Cone QED
• Condensed-matter analogs of the Sauter--Schwinger effect