Publication: Connections between the soliton dynamics provided by some integrable relativistic theories
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1985
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Amer Physical Soc
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Abstract
The soliton dynamics in the complex sine-Gordon equation, massive Thirring model, and sine-Gordon equation are shown to be closely related.
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©198S The American Physical Society.
This work was partially supported by the Comision
Asesora de Investigacion Cientifica y Tecnica. We thank
Professor H. de Vega for pointing out to us the correct expression (9) for the charge of the MT soliton
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1-L. MartÃnez Alonso, Phys. Rev. D 30, 2595 (1984).
2-K. Pohlmeyer, Commun. Math. Phys. 46, 207 (1976); F. Lund and T. Regge, Phys. Rev. D 14, 1524 (1976); F. Lund, Phys. Rev. Lett. 39, 1175 (1977); B. S. Getmanov, Pis'ma Zh. Eksp. Teor. Fiz. 25, 132 (1977) [JETP Lett. 25, 119 (1977)]; F. Lund, Ann. Phys. (N.Y.) 115, 251 (1978).
3-H. J. de Vega and J. M. Maillet, Phys. Rev. D 28, 1441 (1983).
4-E. A. Kuznetsov and A. V. Mikhailov, Teor. Mat. Fiz. 30, 303 (1977) [Theor. Math. Phys. (USSR) 30, 193 (1977)].
5-Omitted end note.
6-We adopt the same scattering-data variables as in Eqs. (2.8)–(2.15) of Ref. 3. It must be realized that the functional μ ( inf ) appearing in Ref. 3 is equal to - ( g^2/ 2 ) Q_CSG.
7-S. V. Manakov, Zh. Eksp. Teor. Fiz. 67, 543 (1974) [Sov. Phys. JETP 40, 269 (1975)].