Time evolution of the QED vacuum in a uniform electric Field: Complete analytic solution by spinorial decomposition
arXiv:1103.2666 · doi:10.1103/PhysRevD.83.065020
Abstract
Exact analytical solutions are presented for the time evolution of the density of pairs produced in the QED vacuum by a time-independent, uniform electric field. The mathematical tool used here to describe the pair production is the Dirac-Heisenberg-Wigner function introduced before [Phys. Rev. D 44, 1825 (1991)]. The initial value problem for this function is solved by decomposing the solution into a product of spinors. The equations for spinors are much simpler and are solved analytically. These calculations are nonperturbative since pair production is due to quantum-mechanical tunneling and the explicit solutions clearly exhibit their nonanalytic behavior.
6 pages, 1 figure
References in corpus (8)
- Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
- The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses
- Improved Approximations for Fermion Pair Production in Inhomogeneous Electric Fields
- Relativistic Quantum Transport Theory for Electrodynamics
- Electron-Positron Pair Production in Space- or Time-Dependent Electric Fields
- Vacuum Decay Time in Strong External Fields
- Relativistic Kinetic Equations for Electromagnetic, Scalar and Pseudoscalar Interactions
- Comment on ``Relativistic kinetic equations for electromagnetic, scalar and pseudoscalar interactions''
Cited by in corpus (10)
- Advances in QED with intense background fields
- Particle self-bunching in the Schwinger effect in spacetime-dependent electric fields
- Simulating fermion production in 1+1 dimensional QED
- Complex Worldline Instantons and Quantum Interference in Vacuum Pair Production
- Pair production: the view from the lightfront
- Schwinger effect in inhomogeneous electric fields
- Wei-Norman equations for a unitary evolution
- Unitary vs pseudo-unitary time evolution and statistical effects in the dynamical Sauter-Schwinger process
- Vortex Structures and Momentum Sharing in Dynamic Sauter-Schwinger Process
- State of a particle pair produced by the Schwinger effect is not necessarily a maximally entangled Bell state