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 | |
| Publication status | Published - 1 Jun 2016 |
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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)
Cite this
Non-Vortex Topological Solitons of the [InlineMediaObject not available : see fulltext.] Gauge Model. / Afanas’ev, K. V.; Gauzshtein, V. V.; Loginov, A. Yu.
In: Russian Physics Journal, Vol. 59, No. 2, 01.06.2016, p. 204-216.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Non-Vortex Topological Solitons of the [InlineMediaObject not available
T2 - see fulltext.] Gauge Model
AU - Afanas’ev, K. V.
AU - Gauzshtein, V. V.
AU - Loginov, A. Yu
PY - 2016/6/1
Y1 - 2016/6/1
N2 - 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.
AB - 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.
KW - Derrick’s theorem
KW - Higgs mechanism
KW - nonquantum magnetic flux
KW - topological solitons
KW - vortex
KW - vortices
KW - [InlineMediaObject not available: see fulltext.] gauge model
UR - http://www.scopus.com/inward/record.url?scp=84975744493&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84975744493&partnerID=8YFLogxK
U2 - 10.1007/s11182-016-0760-5
DO - 10.1007/s11182-016-0760-5
M3 - Article
AN - SCOPUS:84975744493
VL - 59
SP - 204
EP - 216
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 2
ER -