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Soliton classical dynamics in the sine-Gordon equation in terms of the massive Thirring model



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Martínez Alonso, Luis (1984) Soliton classical dynamics in the sine-Gordon equation in terms of the massive Thirring model. Physical review D, 30 (12). pp. 2595-2561. ISSN 0556-2821

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Official URL: http://dx.doi.org/10.1103/PhysRevD.30.2595


The relationship between the soliton dynamics provided by the classical sine-Gordon and massive Thirring models is exhibited. Solitons are characterized as classical relativistic particles through the consideration of their associated canonical realizations of the Poincare group. It is shown that the soliton in the massive Thirring model determines two different kinds of relativistic particles from which sine-Gordon kinks and breathers may be reproduced. In particular, sine-Gordon breathers are characterized as composite systems of two solitons of the massive Thirring model. Soliton scattering in the sine-Gordon equation is described in terms of soliton scattering in the massive Thirring model.

Item Type:Article
Additional Information:

© 1984 The American Physical Society.
I am grateful to A. Fernandez Ranada for many helpful discussion. s and advice. This work was supported in part by the Cornision Asesora de Investigacion Cientifica y Tecnica.

Uncontrolled Keywords:Astronomy & astrophysics; Physics, particles & fields
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:34594
Deposited On:15 Dec 2015 18:30
Last Modified:10 Dec 2018 15:10

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