Response theory of particle-anti-particle plasmas

Physics

Scientific paper

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Scientific paper

The physical motivation for our work on particle-anti-particle systems comes primarily from astrophysical objects such as pulsars and white dwarf stars.
We deal first with the longitudinal dielectric response of an electron-positron or pair plasma in zero and non-zero magnetic fields. The response function must be renormalized using the standard techniques of quantum electrodynamics. For zero magnetic field, the dispersion relation and damping for plasma oscillations are given together with the screening potential about a test charge. For the case of non-zero magnetic field, the longitudinal dielectric response function is again calculated after renormalization. The response function takes on a different form depending upon whether the longitudinal oscillations are parallel or perpendicular to the direction of the magnetic field. The real and imaginary parts of the response function are then exhibited for both cases.
The next topic is concerned with the plasma thought to exist in the deep interior of neutron stars or in the ephemeral plasmas of heavy ion collisions. Use of the Feshbach-Villars formalism for the Klein-Gordon equation allows for a similar approach to that previously used for the fermion-anti-fermion case.
An adaption of the formalism developed here to two-dimensional systems is also given.

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