Light Cone Condition for a Thermalized QED Vacuum

Details Light Cone Condition for a Thermalized QED Vacuum Light Cone Condition for a Thermalized QED Vacuum

1999-06-09

arxiv.org/abs/hep-ph/9906303v3

Phys.Rev. D60 (1999) 105033

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 3 figures, REVTeX, typos corrected, final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.60.105033

Within the QED effective action approach, we study the propagation of low-frequency light at finite temperature. Starting from a general effective Lagrangian for slowly varying fields whose structure is solely dictated by Lorentz covariance and gauge invariance, we derive the light cone condition for light propagating in a thermalized QED vacuum. As an application, we calculate the velocity shifts, i.e., refractive indices of the vacuum, induced by thermalized fermions to one loop. We investigate various temperature domains and also include a background magnetic field. While low-temperature effects to one loop are exponentially damped by the electron mass, there exists a maximum velocity shift of $-\delta v^2_{max}=\alpha/(3\pi)$ in the intermediate-temperature domain $T\sim m$.

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