Non-Vortex Topological Solitons of the [InlineMediaObject not available: see fulltext.] Gauge Model

Abstract

A (2+1)-dimensional [InlineMediaObject not available: see fulltext.] gauge model is investigated. The presence of additional local U(1) symmetry, not associated with a physical gauge field, leads to the existence in the given model of two-dimensional non-vortex topological solitons carrying unquantized magnetic flux. Topological solitons of the given type were found numerically for fixed values of the model parameters. Analytical calculations of some properties of non-vortex topological solitons were performed. Universal dependences of the energy and magnetic flux of a non-vortex topological soliton on a dimensionless combination of parameters of the [InlineMediaObject not available: see fulltext.] gauge model were obtained numerically. A comparative analysis of the properties of a non-vortex topological soliton and an Abrikosov–Nielsen–Olesen classical vortex is provided.

Original language	English
Pages (from-to)	204-216
Number of pages	13
Journal	Russian Physics Journal
Volume	59
Issue number	2
DOIs	https://doi.org/10.1007/s11182-016-0760-5
Publication status	Published - 1 Jun 2016

Keywords

Derrick’s theorem
Higgs mechanism
nonquantum magnetic flux
topological solitons
vortex
vortices
[InlineMediaObject not available: see fulltext.] gauge model

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1007/s11182-016-0760-5

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title = "Non-Vortex Topological Solitons of the [InlineMediaObject not available: see fulltext.] Gauge Model",

abstract = "A (2+1)-dimensional [InlineMediaObject not available: see fulltext.] gauge model is investigated. The presence of additional local U(1) symmetry, not associated with a physical gauge field, leads to the existence in the given model of two-dimensional non-vortex topological solitons carrying unquantized magnetic flux. Topological solitons of the given type were found numerically for fixed values of the model parameters. Analytical calculations of some properties of non-vortex topological solitons were performed. Universal dependences of the energy and magnetic flux of a non-vortex topological soliton on a dimensionless combination of parameters of the [InlineMediaObject not available: see fulltext.] gauge model were obtained numerically. A comparative analysis of the properties of a non-vortex topological soliton and an Abrikosov–Nielsen–Olesen classical vortex is provided.",

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AU - Afanas’ev, K. V.

AU - Gauzshtein, V. V.

AU - Loginov, A. Yu

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