Topological and nontopological self-dual Chern-Simons solitons in a gauged O(3) σ model

K. Arthur, D. H. Tchrakian, Yisong Yang

Research output: Contribution to journalArticle

Abstract

We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) σ model on R2 with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree N, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity N exist. We have studied both types of vortices with N = 1 and N = 2, and the nontopological soliton with N=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are contrasted with those of the gauged CP1 solitons.

Original languageEnglish (US)
Pages (from-to)5245-5258
Number of pages14
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume54
Issue number8
StatePublished - Oct 15 1996

Fingerprint

Solitons
solitary waves
Vortex
Model
vortices
Soliton Solution
Vorticity
vorticity
Stabilization
magnetic flux
stabilization
Arbitrary

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Topological and nontopological self-dual Chern-Simons solitons in a gauged O(3) σ model. / Arthur, K.; Tchrakian, D. H.; Yang, Yisong.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 54, No. 8, 15.10.1996, p. 5245-5258.

Research output: Contribution to journalArticle

@article{38e603bb422a46e2835d674682f7cdf0,
title = "Topological and nontopological self-dual Chern-Simons solitons in a gauged O(3) σ model",
abstract = "We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) σ model on R2 with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree N, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity N exist. We have studied both types of vortices with N = 1 and N = 2, and the nontopological soliton with N=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are contrasted with those of the gauged CP1 solitons.",
author = "K. Arthur and Tchrakian, {D. H.} and Yisong Yang",
year = "1996",
month = "10",
day = "15",
language = "English (US)",
volume = "54",
pages = "5245--5258",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Institute of Physics",
number = "8",

}

TY - JOUR

T1 - Topological and nontopological self-dual Chern-Simons solitons in a gauged O(3) σ model

AU - Arthur, K.

AU - Tchrakian, D. H.

AU - Yang, Yisong

PY - 1996/10/15

Y1 - 1996/10/15

N2 - We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) σ model on R2 with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree N, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity N exist. We have studied both types of vortices with N = 1 and N = 2, and the nontopological soliton with N=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are contrasted with those of the gauged CP1 solitons.

AB - We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) σ model on R2 with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree N, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity N exist. We have studied both types of vortices with N = 1 and N = 2, and the nontopological soliton with N=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are contrasted with those of the gauged CP1 solitons.

UR - http://www.scopus.com/inward/record.url?scp=0000346841&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000346841&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000346841

VL - 54

SP - 5245

EP - 5258

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 8

ER -