scholarly journals RADIAL SYMMETRY OF TOPOLOGICAL ONE- VORTEX SOLUTIONS IN THE MAXWELL-CHERN-SIMONS-HIGGS MODEL

2004 ◽  
Vol 19 (2) ◽  
pp. 283-291 ◽  
Author(s):  
Jong-Min Han
Keyword(s):  
Radial Symmetry ◽  
Higgs Model ◽  
Vortex Solutions ◽  
Chern Simons

Existence of topological multivortex solutions in the self-dual gauge theories

2000 ◽  
Vol 130 (6) ◽  
pp. 1293-1309 ◽  
Author(s):  
Jongmin Han
Keyword(s):  
Exponential Decay ◽  
Gauge Theories ◽  
Integral Formula ◽  
Higgs Model ◽  
The Self ◽  
Abelian Higgs Model ◽  
Decay Of Solutions ◽  
Vortex Solutions ◽  
Chern Simons

This paper is concerned with the existence of topological multivortex solutions in (2 + 1) self-dual gauge theories such as the classical abelian Higgs model or the Chern–Simons Higgs gauge theories. A general form of topological multivortex equations is presented with the inclusion of antivortices. Two kinds of solutions are considered; topological vortex solutions and topological vortex–antivortex solutions. We construct these solutions by super and subsolution methods, and derive the exponential decay of solutions at infinity and the quantized integral formula. As an application, we prove the existence of a topological multivortex solutions in a generalized Chern–Simons Higgs theory.

VORTICES IN CURVED SPACE-TIME

1993 ◽  
Vol 08 (38) ◽  
pp. 3665-3672 ◽  
Author(s):  
J.D. EDELSTEIN ◽  
G. LOZANO ◽  
F.A. SCHAPOSNIK
Keyword(s):  
Scalar Curvature ◽  
Gauge Field ◽  
Space Time ◽  
Higgs Model ◽  
Curved Space ◽  
Abelian Higgs Model ◽  
Vortex Solutions ◽  
Chern Simons ◽  
Higgs Scalar

We study an Abelian Higgs model coupled to a background metric. We find Bogomol’nyi equations when the coupling is achieved through an Rɸ2 term (R being the scalar curvature and ɸ the Higgs scalar). Remarkably, these equations coincide with those arising in models where the gauge field dynamics is governed by a Chern-Simons term so that vortex solutions in our system can be related to self-dual Chern-Simons vortices.

MAGNUS FORCES AND STATISTICS IN 2 + 1 DIMENSIONS

1990 ◽  
Vol 05 (11) ◽  
pp. 853-862 ◽  
Author(s):  
R. L. DAVIS
Keyword(s):  
Magnetic Field ◽  
Finite Size ◽  
Higgs Model ◽  
Magnus Force ◽  
Ginzburg Landau ◽  
Quasi Particle ◽  
Vortex Solutions ◽  
Path Dependent ◽  
Chern Simons ◽  
Particle Statistics

Spinning vortex solutions to the abelian Higgs model, not Nielsen-Olesen solutions, are appropriate to a Ginzburg-Landau description of superconductivity. The main physical distinction is that spinning vortices experience the Magnus force while Nielsen-Olesen vortices do not. In 2 + 1 dimensional superconductivity without a Chern-Simons interaction, the effect of the Magnus force is equivalent to that of a background fictitious magnetic field. Moreover, the phase obtained an interchanging two quasi-particles is always path-dependent. When a Chern-Simons term is added there is an additional localized Magnus flux at the vortex. For point-like vortices, the Chern-Simons interaction can be seen as defining their intrinsic statistics, but in realistic cases of vortices with finite size in strong Magnus fields the quasi-particle statistics are not well-defined.

scholarly journals Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Rodolfo Casana ◽  
Lucas Sourrouille
Keyword(s):  
Magnetic Field ◽  
Soliton Solutions ◽  
Higgs Field ◽  
Higgs Model ◽  
Point Of View ◽  
The Self ◽  
Kinetic Term ◽  
Lorentz Covariance ◽  
Vortex Solutions ◽  
Chern Simons

We have studied the existence of self-dual solitonic solutions in a generalization of the Abelian Chern-Simons-Higgs model. Such a generalization introduces two different nonnegative functions,ω1(|ϕ|)andω(|ϕ|), which split the kinetic term of the Higgs field,|Dμϕ|2→ω1(|ϕ|)|D0ϕ|2-ω(|ϕ|)|Dkϕ|2, breaking explicitly the Lorentz covariance. We have shown that a clean implementation of the Bogomolnyi procedure only can be implemented whetherω(|ϕ|)∝β|ϕ|2β-2withβ≥1. The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing functionω1(|ϕ|)which must be able to provide a finite magnetic field. Also, we have shown that by properly choosing the generalizing functions it is possible to reproduce the Bogomolnyi equations of the Abelian Maxwell-Higgs and Chern-Simons-Higgs models. Finally, some new self-dual|ϕ|6-vortex solutions have been analyzed from both theoretical and numerical point of view.

Existence of radial solutions in the Chern–Simons–Higgs model with its N=2 SUSY extension

Nonlinearity ◽  
2021 ◽  
Vol 34 (6) ◽  
pp. 3907-3935
Author(s):  
Hsin-Yuan Huang ◽  
Hsien-Chung Kao
Keyword(s):  
Higgs Model ◽  
Radial Solutions ◽  
Chern Simons
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