scholarly journals Self-dual vortices in the generalized Abelian Higgs model with independent Chern-Simons interaction

1993 ◽  
Vol 47 (2) ◽  
pp. 673-684 ◽  
Author(s):  
Chanju Kim
Keyword(s):  
Higgs Model ◽  
Abelian Higgs Model ◽  
Chern Simons

scholarly journals Monopole–antimonopole: interaction, scattering and creation

2019 ◽  
Vol 377 (2161) ◽  
pp. 20190143 ◽  
Author(s):  
Ayush Saurabh ◽  
Tanmay Vachaspati
Keyword(s):  
Numerical Experiments ◽  
Magnetic Monopole ◽  
Baryon Number ◽  
Bound State ◽  
New Physics ◽  
Higgs Model ◽  
Degree Of Freedom ◽  
Bound State Solution ◽  
Abelian Higgs Model ◽  
Chern Simons

The interaction of a magnetic monopole–antimonopole pair depends on their separation as well as on a second ‘twist’ degree of freedom. This novel interaction leads to a non-trivial bound state solution known as a sphaleron and to scattering in which the monopole–antimonopoles bounce off each other and do not annihilate. The twist degree of freedom also plays a role in numerical experiments in which gauge waves collide and create monopole–antimonopole pairs. Similar gauge wavepacket scatterings in the Abelian–Higgs model lead to the production of string loops that may be relevant to superconductors. Ongoing numerical experiments to study the production of electroweak sphalerons that result in changes in the Chern–Simons number, and hence baryon number, are also described but have not yet met with success. This article is part of a discussion meeting issue ‘Topological avatars of new physics’.

DUALITY FOR ANYONS

1989 ◽  
Vol 04 (20) ◽  
pp. 1937-1943 ◽  
Author(s):  
T.H. HANSSON ◽  
A. KARLHEDE
Keyword(s):  
Gauge Field ◽  
Three Dimensional ◽  
Higgs Model ◽  
Duality Transformation ◽  
Abelian Higgs Model ◽  
Topological Excitations ◽  
Fractional Spin ◽  
Conserved Current ◽  
Chern Simons ◽  
Spin And Statistics

We study the Nielsen-Olesen vortices in the three dimensional noncompact Abelian Higgs model with a Chern-Simons term. The vortices are fractionally charged anyons (i.e., particles with fractional spin and statistics). In a certain limit we can express the theory in terms of these topological excitations by performing a duality transformation on the lattice. The result is a topologically conserved current describing the vortices, minimally coupled to a dynamical gauge field with a Chern-Simons term. Spin, statistics and size of the excitations are all preserved under this transformation.

THE INTERACTION OF CHERN-SIMONS VORTICES

1991 ◽  
Vol 06 (19) ◽  
pp. 3441-3466 ◽  
Author(s):  
LAURENCE JACOBS ◽  
AVINASH KHARE ◽  
C. NAGARAJA KUMAR ◽  
SAMIR K. PAUL
Keyword(s):  
High Temperature ◽  
High Temperature Superconductors ◽  
Experimental Tests ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Chern Simons

We study the interaction between two vortices in the Abelian Higgs model with an added term of the Chern-Simons form. We argue that our results may be relevant to the physics of high temperature superconductors, and suggest possible experimental tests of this theory.

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.

DUALITY FOR ANYONS

1989 ◽  
Vol 03 (11) ◽  
pp. 887-887
Author(s):  
T.H. HANSSON ◽  
A. KARLHEDE
Keyword(s):  
Gauge Field ◽  
Three Dimensional ◽  
Higgs Model ◽  
Duality Transformation ◽  
Abelian Higgs Model ◽  
Topological Excitations ◽  
Fractional Spin ◽  
Conserved Current ◽  
Chern Simons ◽  
Spin And Statistics

We study the Nielsen-Olesen vortices in the three dimensional noncompact Abelian Higgs model with a Chern-Simons term. The vortices are fractionally charged anyons (i.e., particles with fractional spin and statistics). In a certain limit we can express the theory in terms of these topological excitations by performing a duality transformation on the lattice. The result is a topologically conserved current describing the vortices, minimally coupled to a dynamical gauge field with a Chern-Simons term. Spin, statistics and size of the excitations are all preserved under this transformation.

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