Transverse dispersion law of electron-positron plasma in ultra-relativistic regime

The plasma dynamics was used in degenerated electron-positron plasma, and the transverse dispersion law in ultra-relativistic regime was investigated. The analytical solutions show that the dispersion curves are discontinuous with separate long wave and short wave solutions. Then the dispersion equation was numerically simulated. The numerical dispersion curve connects the long wave part with the short wave part, thus a full dispersion curve was obtained.