Worldline Influence Functional: Abraham-Lorentz-Dirac-Langevin Equation from QED
Quantum Physics
2007-05-23 v1
Abstract
We present a stochastic theory of charges moving in an electromagnetic field using nonequilibrium quantum field theory. We give a first principles' derivation of the Abraham-Lorentz-Dirac-Langevin equation which depicts the quantum expectation value for a particle's trajectory and its stochastic fluctuations by combining the worldline path integral quantization with the Feynman-Vernon influence functional or closed-time-path effective action methods. At lowest order, the equations of motion are approximated by a stochastic Lorentz-Dirac equation.
Cite
@article{arxiv.quant-ph/0012135,
title = {Worldline Influence Functional: Abraham-Lorentz-Dirac-Langevin Equation from QED},
author = {Philip R. Johnson and B. L. Hu},
journal= {arXiv preprint arXiv:quant-ph/0012135},
year = {2007}
}
Comments
Talk given by PRJ at Capri Workshop on Quantum Aspects of Beam Physics, Oct. 2000. 9 pages, no figures