The Lagrangian formulation of strong-field quantum electrodynamics in a plasma

@article{Raicher2013TheLF,
  title={The Lagrangian formulation of strong-field quantum electrodynamics in a plasma},
  author={Erez Raicher and S. Eliezer and Arie Zigler},
  journal={Physics of Plasmas},
  year={2013},
  volume={21},
  pages={053103}
}
The Lagrangian formulation of the scalar and spinor quantum electrodynamics 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… 
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