About self energy in 3-dimensional electrodynamics

Abstract

The fermion electromagnetic mass has been evaluated in 3-dimensional electrodynamics in the first nonvanishing order of N^-1 approximation (N is the number of the fermions in the model). It is established, that, if one proceeds from the self energy integral in QED3, in the approximation under consideration for the mentioned above mass one can obtain the quantum result for the fermion electromagnetic mass as well the classical one. The electromagnetic mass of the particle has the quantum origin, if its Compton wavelength satisfies the condition lambda_c >> alfa (alfa is the scale parameters of the model which are the "elementary length" r_0 and 8/alfa, alfa_0^2*N, alfa_0^2 is the dimensional coupling constant in QED3); the particle electromagnetic mass has the classical origin, if lambda_c<<alfa. The obtained results are discussed.