Soliton Creation with a Twist

We consider soliton creation when there are "twist" degrees of freedom present in the model in addition to those that make up the soliton. Specifically we consider a deformed O(3) sigma model in 1+1 dimensions, which reduces to the sine-Gordon model in the zero twist sector. We study the s...

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Bibliographic Details
Published inarXiv.org
Main Author Vachaspati, Tanmay
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.09.2011
Subjects
Deformation
Helicity
Magnetic monopoles
Nuclear scattering
Physics - High Energy Physics - Phenomenology
Physics - High Energy Physics - Theory
Physics - Other Condensed Matter
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Summary:We consider soliton creation when there are "twist" degrees of freedom present in the model in addition to those that make up the soliton. Specifically we consider a deformed O(3) sigma model in 1+1 dimensions, which reduces to the sine-Gordon model in the zero twist sector. We study the scattering of two or more breather solutions as a function of twist, and find soliton creation for a range of parameters. We speculate on the application of these ideas, in particular on the possible role of magnetic helicity, to the production of magnetic monopoles, and the violation of baryon number in nuclear scattering experiments.
ISSN:2331-8422
DOI:10.48550/arxiv.1109.1065