Computational Method for the Retarded Potential in the Real-Time   Simulation of Quantum Electrodynamics
  We discuss the method to compute the integrals which appear in the retarded potential term for a real-time simulation based on QED (Quantum Electrodynamics). We show that the oscillatory integrals over the infinite interval involved in them can be efficiently performed by the method developed by Ooura and Mori based on the double exponential (DE) formula. 
Masahiro Fukuda, Kento Naito, Kazuhide Ichikawa, Akitomo Tachibana
physics.atom-ph hep-th