Dielectric Functions and Dispersion Relations of Ultra-Relativistic Plasmas with Collisions

Abstract

In the present paper we calculate the dielectric functions of an ultra-relativistic plasma, such as an electron-positron or a quark-gluon plasma. We use classical transport theory and take into account collisions within the relaxation time approximation. From these dielectric functions we derive the dispersion relations of longitudinal and transverse plasma waves.

7 pages, 4 figures, final version to be published in Can. J. Phys

References in corpus (5)

• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Hard Thermal Photon Production in Relativistic Heavy Ion Collisions
• Gluon Plasma Frequency -- the Next-to-Leading Order Term
• Damping Rate of a Hard Photon in a Relativistic Plasma
• Limits of Confinement: The First 15 Years of Ultra-Relativistic Heavy Ion Studies

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• Energy Loss of a Heavy Quark in a Collisional Quark-Gluon Plasma