On the Relativistic Quantum Plasma

TL;DR

This paper discusses the importance of anti-particles in relativistic quantum plasma models, emphasizing the need for comprehensive mathematical frameworks to accurately describe plasma behavior at relativistic quantum scales.

Contribution

It highlights the necessity of including anti-particles in relativistic quantum plasma models to preserve causality and improve the understanding of plasma properties.

Findings

Anti-particles are essential for causality in relativistic quantum plasma.

Current models using Klein-Gordon and Dirac equations often neglect anti-particles.

Inclusion of anti-particles leads to more accurate plasma behavior predictions.

Abstract

Recently the interest in relativistic quantum plasma is increasing primarily to understand the fundamentals of the plasma behaviour and its properties. Mathematical models used to investigate these plasma are still need to be matured. Especially, the relativistic quantum electron-ion plasma are modeled using the Klein-Gordon equation and the Dirac equation for relativistic electrons. However, different properties of these plasma are investigated without anti-particles. We note that in order to preserve causality relativistic quantum plasma must contain anti-particles for relativistically dynamical components of the plasma.