Vortex string dynamics in an external antisymmetric tensor field

Lee Kimyeong; Q. Han Park; H. J. Shin

doi:10.1016/s0550-3213(99)00580-5

Vortex string dynamics in an external antisymmetric tensor field

Lee Kimyeong, Q. Han Park, H. J. Shin

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We study the Lund-Regge equation that governs the motion of strings in a constant background antisymmetric tensor field by using the duality between the Lund-Regge equation and the complex sine-Gordon equation. Similar to the cases of vortex filament configurations in fluid dynamics, we find various exact solitonic string configurations which are the analogue of the Kelvin wave, the Hasimoto soliton and the smoke ring. In particular, using the duality relation, we obtain a completely new type of configuration which corresponds to the breather of the complex sine-Gordon equation.

Original language	English
Pages (from-to)	461-476
Number of pages	16
Journal	Nuclear Physics B
Volume	563
Issue number	1-2
DOIs	https://doi.org/10.1016/s0550-3213(99)00580-5
Publication status	Published - 1999 Dec 6
Externally published	Yes

Keywords

Breather
Complex sine-gordon model
Duality
Lund-regge model
Soliton
Vortex

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/s0550-3213(99)00580-5

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title = "Vortex string dynamics in an external antisymmetric tensor field",

abstract = "We study the Lund-Regge equation that governs the motion of strings in a constant background antisymmetric tensor field by using the duality between the Lund-Regge equation and the complex sine-Gordon equation. Similar to the cases of vortex filament configurations in fluid dynamics, we find various exact solitonic string configurations which are the analogue of the Kelvin wave, the Hasimoto soliton and the smoke ring. In particular, using the duality relation, we obtain a completely new type of configuration which corresponds to the breather of the complex sine-Gordon equation.",

keywords = "Breather, Complex sine-gordon model, Duality, Lund-regge model, Soliton, Vortex",

author = "Lee Kimyeong and Park, {Q. Han} and Shin, {H. J.}",

note = "Funding Information: The work of K.L. was supported in part by the SRC program of the SNU-CTP, the Basic Science and Research Program under BRSI-98-2418, and KOSEF 1998 Interdisciplinary Research Grant 98-07-02-07-01-5. Q-H.P. and H.J.S. were supported in part by the program of Basic Science Research, Ministry of Education 1998-015-D00073, and by Korea Science and Engineering Foundation, 97-07-02-02-01-3. K.L. acknowledge an useful discussion with Karen Uhlenbeck about the solutions of the chiral models, and K.L. and Q-H.P. thank Aspen Center for Physics (summer 1999) where this work has been completed.",

year = "1999",

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doi = "10.1016/s0550-3213(99)00580-5",

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pages = "461--476",

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TY - JOUR

T1 - Vortex string dynamics in an external antisymmetric tensor field

AU - Kimyeong, Lee

AU - Park, Q. Han

AU - Shin, H. J.

N1 - Funding Information: The work of K.L. was supported in part by the SRC program of the SNU-CTP, the Basic Science and Research Program under BRSI-98-2418, and KOSEF 1998 Interdisciplinary Research Grant 98-07-02-07-01-5. Q-H.P. and H.J.S. were supported in part by the program of Basic Science Research, Ministry of Education 1998-015-D00073, and by Korea Science and Engineering Foundation, 97-07-02-02-01-3. K.L. acknowledge an useful discussion with Karen Uhlenbeck about the solutions of the chiral models, and K.L. and Q-H.P. thank Aspen Center for Physics (summer 1999) where this work has been completed.

PY - 1999/12/6

Y1 - 1999/12/6

N2 - We study the Lund-Regge equation that governs the motion of strings in a constant background antisymmetric tensor field by using the duality between the Lund-Regge equation and the complex sine-Gordon equation. Similar to the cases of vortex filament configurations in fluid dynamics, we find various exact solitonic string configurations which are the analogue of the Kelvin wave, the Hasimoto soliton and the smoke ring. In particular, using the duality relation, we obtain a completely new type of configuration which corresponds to the breather of the complex sine-Gordon equation.

AB - We study the Lund-Regge equation that governs the motion of strings in a constant background antisymmetric tensor field by using the duality between the Lund-Regge equation and the complex sine-Gordon equation. Similar to the cases of vortex filament configurations in fluid dynamics, we find various exact solitonic string configurations which are the analogue of the Kelvin wave, the Hasimoto soliton and the smoke ring. In particular, using the duality relation, we obtain a completely new type of configuration which corresponds to the breather of the complex sine-Gordon equation.

KW - Breather

KW - Complex sine-gordon model

KW - Duality

KW - Lund-regge model

KW - Soliton

KW - Vortex

UR - http://www.scopus.com/inward/record.url?scp=0033530792&partnerID=8YFLogxK

U2 - 10.1016/s0550-3213(99)00580-5

DO - 10.1016/s0550-3213(99)00580-5

M3 - Article

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SN - 0550-3213

VL - 563

SP - 461

EP - 476

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

Vortex string dynamics in an external antisymmetric tensor field

Abstract

Keywords

ASJC Scopus subject areas

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