Plasmons in QED Vacuum

Abstract

The problem of longitudinal oscillations of an electric field and a charge polarization density in QED vacuum is considered. Within the framework of semiclassical analysis, we calculate time-periodic solutions of bosonized (1+1)-dimensional QED (massive Schwinger model). Applying the Bohr--Sommerfeld quantization condition, we determine the mass spectrum of charge-zero bound states (plasmons) which correspond in quantum theory to the found classical solutions. We show that the existence of such plasmons does not contradict any fundamental physical laws and study qualitatively their excitation in (3+1)-dimensional real world.

9 pages, 7 figures

References in corpus (6)

• Nonlinear collective effects in photon-photon and photon-plasma interactions
• Pair production in laser fields oscillating in space and time
• Vacuum high harmonic generation in the shock regime
• Short wavelength quantum electrodynamical correction to cold plasma-wave propagation
• Validity of One-Dimensional QED for a System with Spatial Symmetry
• Nonlinear normal modes in electrodynamic systems: A nonperturbative approach

Cited by in corpus (1)

• Response of the QED(2) Vacuum to a Quench: Long-term Oscillations of the Electric Field and the Pair Creation Rate