Effective dynamics of an electrically charged string with a current

P. O. Kazinski

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Equations of motion for an electrically charged string with a current in an external electromagnetic field with regard to the first correction due to the self-action are derived. It is shown that the reparameterization invariance of the free action of the string imposes constraints on the possible form of the current. The effective equations of motion are obtained for an absolutely elastic charged string in the form of a ring (circle). Equations for the external electromagnetic fields that admit stationary states of such a ring are derived. Solutions to the effective equations of motion of an absolutely elastic charged ring in the absence of external fields as well as in an external uniform magnetic field are obtained. In the latter case, the frequency at which one can observe radiation emitted by the ring is evaluated. A model of an absolutely nonstretchable charged string with a current is proposed. The effective equations of motion are derived within this model, and a class of solutions to these equations is found.

Original languageEnglish
Pages (from-to)270-279
Number of pages10
JournalJournal of Experimental and Theoretical Physics
Volume101
Issue number2
DOIs
Publication statusPublished - 2005
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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