Running coupling and fermion mass in strong coupling QED
Abstract
Description
Simple toy model is used in order to exhibit the technique of extracting the non-perturbative information about Green's functions in Minkowski space. The effective charge and the dynamical electron mass are calculated in strong coupling 3+1 QED by solving the coupled Dyson-Schwinger equations for electron and photon propagators. The minimal Ball-Chiu vertex was used for simplicity and we impose the Landau gauge fixing on QED action. The solution obtained separately in Euclidean and Minkowski space were compared, the latter one was extracted with the help of spectral technique.
23 pages, 4 figures, v4: revised and extended version, one introductory section added
23 pages, 4 figures, v4: revised and extended version, one introductory section added