Infra-red divergences in Light Front Field Theory and Coherent State Formalism

We discuss fermion self energy correction in light front QED using a coherent state basis. We show that if one uses coherent state basis instead of fock basis to calculate the transition matrix elements the true infrared divergences in $δm^2$ get canceled up to $O(e^4)$ . We show this in Light-front as well as in Feynman gauge.

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