DOI: https://doi.org/10.30970/jps.15.1003
RENORMALIZATION AND RADIATION REACTION IN 2 + 1 ELECTRODYNAMICS
Yurij Yaremko
Institute for Condensed Matter Physics,
1 Svientsitskii St., 79011 Lviv, Ukraine
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Journal of Physical Studies 15(1), Article 1003 [12 pages] (2011)
DOI: https://doi.org/10.30970/jps.15.1003
RENORMALIZATION AND RADIATION REACTION IN
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We consider a self-action problem for an electric charge arbitrarily moving in flat spacetime of three dimensions. Its electromagnetic field satisfies the Maxwell equations in Minkowski space ${\mathbb M}_{3}$ of three dimensions. In ${\mathbb M}_{3}$ electromagnetic waves propagate not just at the speed of light, but also at all speeds smaller than or equal to the speed of light. The massive particle may ‟fill” its own field, which acts on it just like the external one. The radiation reaction is determined by Lorentz force of a point-like charge acting upon itself plus non-local term which provides finiteness of the self-action. The self-force produces a time-changing inertial mass. The relation between $2+1$-electrodynamics and dynamics of the superfluid ${}^4$He film is emphasized.
PACS number(s): 03.50.De, 11.10.Kk, 11.10.Gh, 11.30.Cp