Computational Method for the Retarded Potential in the Real-Time Simulation of Quantum Electrodynamics
Masahiro Fukuda, Kento Naito, Kazuhide Ichikawa, Akitomo Tachibana
TL;DR
This paper presents an efficient computational method for evaluating oscillatory integrals in real-time quantum electrodynamics simulations, improving the accuracy and efficiency of retarded potential calculations.
Contribution
It introduces a novel application of the double exponential formula to compute retarded potential integrals in QED simulations.
Findings
Efficient evaluation of oscillatory integrals using DE formula.
Enhanced accuracy in real-time QED simulations.
Potential for improved simulation performance.
Abstract
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.
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