Magnetic catalysis in QED_3 at finite temperature: beyond the constant mass approximation

Details Magnetic catalysis in QED_3 at finite temperature: beyond the constant mass approximation Magnetic catalysis in QED_3 at finite temperature: beyond the constant mass approximation

2000-10-24

arxiv.org/abs/hep-th/0010211v4

Phys.Rev. D63 (2001) 065015

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 10 figures, published version

Scientific paper

10.1103/PhysRevD.63.065015

We solve the Schwinger-Dyson equations for (2+1)-dimensional QED in the presence of a strong external magnetic field. The calculation is done at finite temperature and the fermionic self energy is not supposed to be momentum-independent, which is the usual simplification in such calculations. The phase diagram in the temperature-magnetic field plane is determined. For intermediate magnetic fields the critical temperature turns out to have a square root dependence on the magnetic field, but for very strong magnetic fields it approaches a B-independent limiting value.

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