Abstract
The effective Lagrangian and the electric current of quantum electrodynamics at weak electromagnetic field and low temperature is investigated. With the help of the effective Lagrangian the permittivity and permeability are obtained. The effective potential at finite temperature and density induced by the classical Coulomb potential is also obtained. It is shown that the heat corrections modify the Coulomb potential to such an extent that the effective potential adopts the Yukawa form. Some remarks are made about the electron g factor at finite temperature and density.
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