The charge and mass perturbative renormalization in explicitly covariant LFD

In several preceding studies, the explicitly covariant formulation of light front dynamics was developed and applied to many observables. In the present study we show how in this approach the renormalization procedure for the first radiative correction can be carried out in a standard way, after separating out the contributions depending on the orientation of the light-front plane. We calculate the renormalized QED vertices $\\gamma e^-\\to e^-$ and $e^+e^-\\to \\gamma $ and the electron self-energy and recover, in a straightforward way, the well known analytical results obtained in the Feynman approach.