Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-02-23
Phys.Lett. B427 (1998) 197-205
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, 2 ps figures, Latex
Scientific paper
10.1016/S0370-2693(98)00331-1
We calculate thermal corrections to the non-linear QED effective action for low-energy photon interactions in a background electromagnetic field. The high-temperature expansion shows that at $T \gg m$ the vacuum contribution is exactly cancelled to all orders in the external field except for a non-trivial two-point function contribution. The high-temperature expansion derived reveals a remarkable cancellation of infrared sensitive contributions. As a result photon-splitting in the presence of a magnetic field is suppressed in the presence of an electron-positron QED-plasma at very high temperatures. In a cold and dense plasma a similar suppression takes place. At the same time Compton scattering dominates for weak fields and the suppression is rarely important in physical situations.
Elmfors Per
Skagerstam Bo-Sture
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