Electrodynamics with charged strings
Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 3, pp. 407-416
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We show that in a four-dimensional space–time a complex scalar field can be associated with a one-dimensionally extended object, called a charged string. The string is said to be charged because the complex scalar field describing it interacts with an electromagnetic field. A charged string is characterized by an extension of the symmetry group of the charge space to a group of stretch rotations. We propose relativistically invariant and gauge-invariant equations describing the interaction of a complex scalar field with an electromagnetic field, and each solution of them corresponds to a charged string. We achieve this by introducing the notion of a charged string index, which, as verified, takes only integer values. We establish equations from which it follows that charged strings fit naturally into the framework of the Maxwell–Dirac electrodynamics.
Keywords:
electrodynamics, magnetic charge, anion, string, charged string.
@article{TMF_2017_191_3_a2,
author = {A. B. Pestov},
title = {Electrodynamics with charged strings},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {407--416},
publisher = {mathdoc},
volume = {191},
number = {3},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2017_191_3_a2/}
}
A. B. Pestov. Electrodynamics with charged strings. Teoretičeskaâ i matematičeskaâ fizika, Tome 191 (2017) no. 3, pp. 407-416. http://geodesic.mathdoc.fr/item/TMF_2017_191_3_a2/