Classical matrix sine-Gordon theory

Q Han Park, H. J. Shin

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The matrix sine-Gordon theory, a matrix generalization of the well-known sine-Gordon theory, is studied. In particular, the A3 generalization where fields take values in SU(2) describes integrable deformations of conformal field theory corresponding to the coset SU(2) × SU(2)/SU(2). Various classical aspects of the matrix sine-Gordon theory are addressed. We find exact solutions, solitons and breathers which generalize those of the sine-Gordon theory with internal degrees of freedom, by applying the Zakharov-Shabat dressing method and explaining their physical properties. Infinite current conservation laws and then Bäcklund transformation of the theory are obtained from the zero curvature formalism of the equation of motion. From the Bäcklund transformation, we also derive exact solutions as well as a nonlinear superposition principle by making use of Bianchi's permutability theorem.

Original languageEnglish
Pages (from-to)327-354
Number of pages28
JournalNuclear Physics B
Volume458
Issue number1-2
Publication statusPublished - 1996 Jan 1
Externally publishedYes

Fingerprint

matrices
conservation laws
equations of motion
theorems
degrees of freedom
physical properties
solitary waves
curvature
formalism

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Park, Q. H., & Shin, H. J. (1996). Classical matrix sine-Gordon theory. Nuclear Physics B, 458(1-2), 327-354.

Classical matrix sine-Gordon theory. / Park, Q Han; Shin, H. J.

In: Nuclear Physics B, Vol. 458, No. 1-2, 01.01.1996, p. 327-354.

Research output: Contribution to journalArticle

Park, QH & Shin, HJ 1996, 'Classical matrix sine-Gordon theory', Nuclear Physics B, vol. 458, no. 1-2, pp. 327-354.
Park QH, Shin HJ. Classical matrix sine-Gordon theory. Nuclear Physics B. 1996 Jan 1;458(1-2):327-354.
Park, Q Han ; Shin, H. J. / Classical matrix sine-Gordon theory. In: Nuclear Physics B. 1996 ; Vol. 458, No. 1-2. pp. 327-354.
@article{d439ba10671f455f97bf9ad0ef197fef,
title = "Classical matrix sine-Gordon theory",
abstract = "The matrix sine-Gordon theory, a matrix generalization of the well-known sine-Gordon theory, is studied. In particular, the A3 generalization where fields take values in SU(2) describes integrable deformations of conformal field theory corresponding to the coset SU(2) × SU(2)/SU(2). Various classical aspects of the matrix sine-Gordon theory are addressed. We find exact solutions, solitons and breathers which generalize those of the sine-Gordon theory with internal degrees of freedom, by applying the Zakharov-Shabat dressing method and explaining their physical properties. Infinite current conservation laws and then B{\"a}cklund transformation of the theory are obtained from the zero curvature formalism of the equation of motion. From the B{\"a}cklund transformation, we also derive exact solutions as well as a nonlinear superposition principle by making use of Bianchi's permutability theorem.",
author = "Park, {Q Han} and Shin, {H. J.}",
year = "1996",
month = "1",
day = "1",
language = "English",
volume = "458",
pages = "327--354",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "1-2",

}

TY - JOUR

T1 - Classical matrix sine-Gordon theory

AU - Park, Q Han

AU - Shin, H. J.

PY - 1996/1/1

Y1 - 1996/1/1

N2 - The matrix sine-Gordon theory, a matrix generalization of the well-known sine-Gordon theory, is studied. In particular, the A3 generalization where fields take values in SU(2) describes integrable deformations of conformal field theory corresponding to the coset SU(2) × SU(2)/SU(2). Various classical aspects of the matrix sine-Gordon theory are addressed. We find exact solutions, solitons and breathers which generalize those of the sine-Gordon theory with internal degrees of freedom, by applying the Zakharov-Shabat dressing method and explaining their physical properties. Infinite current conservation laws and then Bäcklund transformation of the theory are obtained from the zero curvature formalism of the equation of motion. From the Bäcklund transformation, we also derive exact solutions as well as a nonlinear superposition principle by making use of Bianchi's permutability theorem.

AB - The matrix sine-Gordon theory, a matrix generalization of the well-known sine-Gordon theory, is studied. In particular, the A3 generalization where fields take values in SU(2) describes integrable deformations of conformal field theory corresponding to the coset SU(2) × SU(2)/SU(2). Various classical aspects of the matrix sine-Gordon theory are addressed. We find exact solutions, solitons and breathers which generalize those of the sine-Gordon theory with internal degrees of freedom, by applying the Zakharov-Shabat dressing method and explaining their physical properties. Infinite current conservation laws and then Bäcklund transformation of the theory are obtained from the zero curvature formalism of the equation of motion. From the Bäcklund transformation, we also derive exact solutions as well as a nonlinear superposition principle by making use of Bianchi's permutability theorem.

UR - http://www.scopus.com/inward/record.url?scp=0029689356&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029689356&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0029689356

VL - 458

SP - 327

EP - 354

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -