The Lagrangian Formulation of Strong-Field QED in a Plasma

Abstract

The Lagrangian formulation of the scalar and spinor quantum electrodynamics (QED) in the presence of strong laser fields in a plasma medium is considered. We include the plasma influence in the free Lagrangian analogously to the "Furry picture" and obtain coupled equations of motion for the plasma particles and for the laser propagation. We demonstrate that the strong-field wave (i.e. the laser) satisfies a massive dispersion relation and obtain self-consistently the effective mass of the laser photons. The Lagrangian formulation derived in this paper is the basis for the cross sections calculation of quantum processes taking place in the presence of a plasma.

References in corpus (5)

• Dynamics of spin 1/2 quantum plasmas
• Nonlinear Compton scattering in ultra-short laser pulses
• Trident pair production in strong laser pulses
• On the kinetic equation approach to pair production by time-dependent electric field
• Relativistic Laser-Plasma Interactions in the Quantum Regime

Cited by in corpus (11)

• Nonlinear Compton scattering of an ultra-intense laser pulse in a plasma
• Lagrangian geometrical optics of nonadiabatic vector waves and spin particles
• Effective action approach to wave propagation in scalar QED plasmas
• Non-Linear Compton Scattering in a Strong Rotating Electric Field
• Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field
• Electronic parametric instabilities of an ultrarelativistic laser pulse in a plasma
• NLSE for quantum plasmas with the radiation damping
• Electromagnetic propagation in a relativistic electron gas at finite temperatures
• Necessary criterion of choosing the energy-momentum tensor and the Lagrange formalism
• Plasma Physics in Strong Field Regimes
• Background Field Method in Thermo Field Dynamics Theory for Wave Propagation in Unmagnetized Spinor QED Plasmas