Nonlinear interaction between electromagnetic fields at high temperature

Details Nonlinear interaction between electromagnetic fields at high temperature Nonlinear interaction between electromagnetic fields at high temperature

1994-07-06

arxiv.org/abs/hep-th/9407036v1

Phys.Rev.D50:4110-4116,1994

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, DAMTP 94/34

Scientific paper

10.1103/PhysRevD.50.4110

The electron-positron `box' diagram produces an effective action which is fourth order in the electromagnetic field. We examine the behaviour of this effective action at high-temperature (in analytically continued imaginary-time thermal perturbation theory). We argue that there is a finite, nonzero limit as $T\rightarrow \infty$ (where $T$ is the temperature). We calculate this limit in the nonrelativistic static case, and in the long-wavelength limit. We also briefly discuss the self-energy in 2-dimensional QED, which is similar in some respects.

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