TY - JOUR
T1 - Vortex strings and nonabelian sine-Gordon theories
AU - Park, Q. Han
AU - Shin, H. J.
N1 - Funding Information:
We are grateful to K. Lee for many helpful discussions. This work was 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.
PY - 1999
Y1 - 1999
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000764985&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(99)00352-4
DO - 10.1016/S0370-2693(99)00352-4
M3 - Article
AN - SCOPUS:0000764985
SN - 0370-2693
VL - 454
SP - 259
EP - 264
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 3-4
ER -