QED effective action in time dependent electric backgrounds

  title={QED effective action in time dependent electric backgrounds},
  author={Gerald V. Dunne and Theodore M. Hall},
  journal={Physical Review D},
We apply the resolvent technique to the computation of the QED effective action in time dependent electric field backgrounds. The effective action has both real and imaginary parts, and the imaginary part is related to the pair production probability in such a background. The resolvent technique has been applied previously to spatially inhomogeneous magnetic backgrounds, for which the effective action is real. We explain how dispersion relations connect these two cases, the magnetic case which… Expand
QED effective actions in inhomogeneous backgrounds: Summing the derivative expansion
The QED effective action encodes nonlinear interactions due to quantum vacuum polarization effects. While much is known for the special case of electrons in a constant electromagnetic field (theExpand
Effective action of QED in electric field backgrounds
We use the evolution operator method to find the one-loop effective action of scalar and spinor QED in electric field backgrounds in terms of the Bogoliubov coefficient between the ingoing and theExpand
Nonperturbative QED effective action at finite temperature
We propose a novel method for the effective action of spinor and scalar QED at finite temperature in time-dependent electric fields, where charged pairs evolve in a nonadiabatic way. The imaginaryExpand
Worldline instantons and the fluctuation prefactor
In a previous paper [G. V. Dunne and C. Schubert, Phys. Rev. D 72, 105004 (2005).], it was shown that the worldline expression for the nonperturbative imaginary part of the QED effective action canExpand
QED Effective Action in Magnetic Field Backgrounds and Electromagnetic Duality
In the in-out formalism we advance a method of the inverse scattering matrix for calculating effective actions in pure magnetic field backgrounds. The one-loop effective actions are found in aExpand
In-out formalism for the QED effective action in a constant electromagnetic field
In the in-out formalism, the effective action is given by the vacuum persistence amplitude and is expressed by using Bogoliubov coefficients between the in-vacuum and the out-vacuum. In the secondExpand
Worldline instantons and pair production in inhomogenous fields
We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons.'' These worldline instantons are classical solutionsExpand
Violation of vacuum stability by inverse square electric fields
In the framework of QED with a strong background, we study particle creation (the Schwinger effect) by a time-dependent inverse square electric field. To this end corresponding exact in- andExpand
On Vacuum Polarization and Schwinger Pair Production in Intense Lasers
We review and elaborate the complex effective action at one-loop and at zero or finite temperature in the in-out formalism for scalar QED and the vacuum persistence in time-dependent electric fields.Expand
Pair creation in electric fields, anomalies, and renormalization of the electric current
We investigate the Schwinger pair production phenomena in spatially homogeneous strong electric fields. We first consider scalar QED in four-dimensions and discuss the potential ambiguity in theExpand


Quantum Field Theory
Quantum field theory is the framework in which the regnant theories of the electroweak and strong interactions, which together form the standard model, are formulated. Quantum electrodynamics (QED),Expand
Quantum field theory
This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and LagrangianExpand
Higher Transcendental Functions
Higher Transcendental FunctionsBased, in part, on notes left by the late Prof. Harry Bateman, and compiled by the Staff of the Bateman Project. Vol. 1. Pp. xxvi + 302. 52s. Vol. 2. Pp. xvii + 396.Expand
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