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The Abraham–Lorentz force and electrodynamics at the classical electron radius

    https://doi.org/10.1142/S0217751X19500775Cited by:4 (Source: Crossref)

    The Abraham–Lorentz force is a finite remnant of the UV singular structure of the self-interaction of a point charge with its own field. The satisfactory description of such an interaction needs a relativistic regulator. This turns out to be a problematic point because the energy of regulated relativistic cutoff theories is unbounded from below. However, one can construct point-splitting regulators which keep the Abraham–Lorentz force stable. The classical language can be reconciled with QED by pointing out that the effective quantum theory for the electric charge supports a saddle point producing the classical radiation reaction forces.

    PACS: 11.10.Gh, 11.10.Lm, 11.30.Cp
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