Ferreira, L. A. and Klimas, P. and Zakrzewski, Wojtek J. (2016) 'Quasi-integrable deformations of the SU(3) Affine Toda theory.', Journal of high energy physics., 2016 (5).
We consider deformations of the SU(3) Aﬃne Toda theory (AT) and investigate the integrability properties of the deformed theories. We ﬁnd that for some special deformations all conserved quantities change to being conserved only asymptotically, i.e. in the process of the scattering of two solitons these charges do vary in time, but they return, after the scattering, to the values they had prior to the scattering. This phenomenon, which we have called quasi-integrability, is related to special properties of the two-soliton solutions under space-time parity transformations. Some properties of the AT solitons are discussed, especially those involving interesting static multi-soliton solutions. We support our analytical studies with detailed numerical ones in which the time evolution has been simulated by the 4th order Runge-Kutta method. We ﬁnd that for some perturbations the solitons repel and for the others they form a quasi-bound state. When we send solitons towards each other they can repel when they come close together with or without ‘ﬂipping’ the ﬁelds of the model. The solitons radiate very little and appear to be stable. These results support the ideas of quasi-integrability, i.e. that many eﬀects of integrability also approximately hold for the deformed models.
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|Publisher Web site:||https://doi.org/10.1007/JHEP05(2016)065|
|Publisher statement:||This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.|
|Date accepted:||01 May 2016|
|Date deposited:||02 April 2019|
|Date of first online publication:||11 May 2016|
|Date first made open access:||No date available|
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