Radiation fields of a uniformly accelerating point source in the framework of Stueckelberg's manifestly covariant relativistic dynamics

I. Aharonovich, L. Horwitz

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Abstract

In this paper we explore the problem of fields generated by a source undergoing hyperbolic motion in the framework of Stueckelberg manifestly covariant relativistic dynamics. The resulting gauge fields are computed numerically using Green-Functions which are retarded in the Stueckelberg absolute time τ, and qualitatively compared with Maxwell fields generated by the same motion. The gauge invariant field equations are second order in this parameter as well as in space-time, resulting in identification of a five-dimensional manifold for the gauge fields. We find that although the zero mode of all fields coincides with the corresponding Maxwell fields, the generalized Lorentz force (necessarily involving a fifth component of the gauge field) depends on the nonzero modes as well, which affects the motion of particles subject to these forces.

Original languageEnglish
Article number051004JMP
JournalJournal of Mathematical Physics
Volume51
Issue number5
DOIs
StatePublished - May 2010

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