COHERENT STATES IN NULL-PLANE QED

Light front field theories are known to have the usual infrared divergences of the equal time theories, as well as new ''spurious'' infrared divergences. The former kind of IR divergences are usually treated by giving a small mass to the gauge particle. An alternative method to deal with these divergences is to calculate the transition matrix elements in a coherent state basis. In this paper we present, as a model calculation, the lowest order correction to the three point vertex in QED using a coherent state basis in the light cone formalism. The relevant transition matrix element is shown to be free of the true IR divergences up to O(e(2)).