Magnetic catalysis in three-dimensional QED at finite temperature: Beyond the constant mass approximation - art. no. 065015

We solve the Schwinger-Dyson equations for (2+1)-dimensional QED in the pre sence of a strong external magnetic field. The calculation is done at finit e temperature and the fermionic self-energy is not supposed to be momentum independent, which is the usual simplification in such calculations. The ph ase diagram in the temperature-magnetic held plane is determined. For each value of the magnetic field the critical temperature is higher than in the constant mass approximation. In addition, the latter approximation shows a relative B independence of the critical temperature, which occurs for stron ger magnetic fields in the momentum dependent case.