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Kinetic theory and stochastic simulation of field quanta

2014/02/13 by Hans Christian Öttinger · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Collision #Computer science #Electron #Field (mathematics) #Kinetic energy #Kinetic theory #Mathematics #Moment (physics) #Photon #Physics #Quantum Electrodynamics and Casimir Effect #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum electrodynamics #Quantum mechanics #Simple (philosophy) #Statistical physics #Theoretical physics #Time evolution #Transverse plane #hep-th #math-ph #math.MP #physics.comp-ph

paper · pdf · doi:10.1103/physrevd.90.085005

published as Phys. Rev. D 90, 085005 (2014) · 17 pages, 6 figures

arxiv created 2014/02/13 · openalex publication_date 2014/10/03 · arxiv updated 2018/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We develop quantum electrodynamics into a kinetic-theory-like evolution equation for electrons, positrons and photons. To keep the ``collision rules'' simple, we make use of longitudinal and temporal photons in addition to the usual transverse photons. For our explicitly time-dependent approach, we introduce proper time-correlation functions. We then develop a stochastic simulation technique for solving the resulting kinetic equation. To illustrate the validity and potential of the proposed ideas, we show how a very simple simulation of the dynamics of field quanta can be used to obtain the leading-order contribution to the anomalous magnetic moment of the electron.

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