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On the Green-Functions of the classical offshell electrodynamics under the manifestly covariant relativistic dynamics of Stueckelberg

By I. Aharonovich and L. P. Horwitz


In previous paper derivations of the Green function have been given for 5D off-shell electrodynamics in the framework of the manifestly covariant relativistic dynamics of Stueckelberg (with invariant evolution parameter $\tau$). In this paper, we reconcile these derivations resulting in different explicit forms, and relate our results to the conventional fundamental solutions of linear 5D wave equations published in the mathematical literature. We give physical arguments for the choice of the Green function retarded in the fifth variable $\tau$.Comment: 16 pages, 1 figur

Topics: Mathematical Physics, High Energy Physics - Theory, 78A25, 78A40, 78M25, 83A05, 31B10
Year: 2011
DOI identifier: 10.1063/1.3619801
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