Abstract
It is shown that the use of analogues of the QCD gauge-invariant structures (type of “strings” and “stars”) in QED enables one to consider the generalized gauge-invariant amplitude, which satisfies the requirements of the quantum theory of gauge fields and allows one to describe electromagnetic (EM) interactions both with local and nonlocal charged matter fields beyond the scope of the Lagrange approach. This causes no negative consequences for the theory as a whole. The invariant character of the amplitude structure in relation to hierarchical evolution of the structural forces and structural elements of the nonlocal field allows its use in an unchanged form to describe EM interaction processes in different scales of matter structure. The generalized amplitude features a continuous limit in transition from nonlocal to local fields.
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Original Russian Text © Yu.A. Kasatkin, 2009, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2009, No. 1 (149), pp. 41–53.
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Kasatkin, Y.A. The geometrical aspect of the gauge fields and the possibility of a general description of local and nonlocal interaction in QED. Phys. Part. Nuclei Lett. 6, 21–29 (2009). https://doi.org/10.1134/S1547477109010051
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DOI: https://doi.org/10.1134/S1547477109010051