Dynamics of the electric current in an ideal electron gas: A sound mode inside the quasiparticles

@article{Grozdanov2015DynamicsOT,
  title={Dynamics of the electric current in an ideal electron gas: A sound mode inside the quasiparticles},
  author={Savso Grozdanov and Janos Polonyi},
  journal={Physical Review D},
  year={2015},
  volume={92},
  pages={065009}
}
We study the equation of motion for the Noether current in an electron gas within the framework of the Schwinger-Keldysh Closed-Time-Path formalism. The equation is shown to be highly non-linear and irreversible even for a non-interacting, ideal gas of electrons at non-zero density. We truncate the linearised equation of motion, written as the Laurent series in Fourier space, so that the resulting expressions are local in time, both at zero and at small finite temperatures. Furthermore, we show… 

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