Vortex strings and nonabelian sine-Gordon theories

Q Han Park, H. J. Shin

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We generalize the Lund-Regge model for vortex string dynamics in 4-dimensional Minkowski space to the arbitrary n-dimensional case. The n-dimensional vortex equation is identified with a nonabelian sine-Gordon equation and its integrability is proven by finding the associated linear equations of the inverse scattering. An explicit expression of vortex coordinates in terms of the variables of the nonabelian sine-Gordon system is derived. In particular, we obtain the n-dimensional vortex soliton solution of the Hasimoto-type from the one soliton solution of the nonabelian sine-Gordon equation.

Original languageEnglish
Pages (from-to)259-264
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume454
Issue number3-4
Publication statusPublished - 1999 Dec 1
Externally publishedYes

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strings
vortices
solitary waves
Minkowski space
inverse scattering
linear equations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Vortex strings and nonabelian sine-Gordon theories. / Park, Q Han; Shin, H. J.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 454, No. 3-4, 01.12.1999, p. 259-264.

Research output: Contribution to journalArticle

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