Worldline Influence Functional: Abraham-Lorentz-Dirac-Langevin Equation from QED

Physics – Quantum Physics

Scientific paper

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Talk given by PRJ at Capri Workshop on Quantum Aspects of Beam Physics, Oct. 2000. 9 pages, no figures

Scientific paper

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.

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