Description: The Coulomb and Yukawa potentials of particles are derived from the Schwinger field theory at zero and finite temperature. At the same time the correction to the Coulomb potential is determined for the two charges interacting in the photon black-body sea by the photon exchange mechanism. The running coupling constant is determined in dependence on the mean free path of photons in the photon sea. The relation to the Cooper pairs and phonon-phonon interaction at the thermal bath is discussed.