Lienard-Weichert derived from QED?

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SUMMARY

The discussion centers on the derivation of the Lienard-Wiechert electromagnetic fields from quantum electrodynamics (QED) calculations, specifically at the tree level. Participants seek references to papers that successfully demonstrate this derivation, noting that while the instantaneous Darwin-Breit potential can be obtained, the retarded Lienard-Wiechert potentials remain elusive. Key references include section 83 of "Quantum Electrodynamics" by Berestetskii, Livshitz, and Pitaevskii, as well as chapter 12 in the paper available on arXiv: physics/0504062.

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  • Understanding of Lienard-Wiechert potentials
  • Familiarity with quantum electrodynamics (QED)
  • Knowledge of the Lorentz force law
  • Ability to interpret advanced physics literature
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  • Research the derivation of Lienard-Wiechert potentials from QED
  • Study the instantaneous Darwin-Breit potential in detail
  • Examine section 83 of "Quantum Electrodynamics" by Berestetskii, Livshitz, and Pitaevskii
  • Review chapter 12 of arXiv: physics/0504062 for insights on QED calculations
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The discussion is beneficial for theoretical physicists, researchers in quantum electrodynamics, and students seeking to understand the relationship between classical electromagnetism and quantum field theory.

johne1618
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Can the classical electromagnetic force between two arbitrarily moving electrons, described by the Lienard-Wiechert EM fields and the Lorentz force law, be derived from a "simple" tree-level QED calculation?

Can anyone point to a paper where this has been done?
 
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I haven't seen derivations of retarded Lienard-Wiechert potentials from QED, but one can obtain the instantaneous Darwin-Breit potential. See section 83 in Berestetskii, Livshitz, Pitaevskii, "Quantum electrodynamics" and chapter 12 in arXiv:physics/0504062.

Eugene.
 
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