Self Energy Correction in Light Front QED And Coherent State Basis

We discuss the calculation of 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 electron mass renormalization $δm^2$ get canceled up to $O(e^4)$ in Light Front gauge. We have also verified this cancellation in Feynman gauge up to $O(e^2)$.

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