scholarly journals SELF-DUAL VORTICES IN A MAXWELL CHERN–SIMONS MODEL WITH NONMINIMAL COUPLING

1999 ◽  
Vol 14 (11) ◽  
pp. 1721-1735 ◽  
Author(s):  
H. R. CHRISTIANSEN ◽  
M. S. CUNHA ◽  
J. A. HELAYËL-NETO ◽  
L. R. U. MANSSUR ◽  
A. L. M. A. NOGUEIRA
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Higgs Potential ◽  
Nonminimal Coupling ◽  
Supersymmetric Extension ◽  
Vortex Solutions ◽  
Chern Simons

We find self-dual vortex solutions in a Maxwell–Chern–Simons model with anomalous magnetic moment. From a recently developed N=2 supersymmetric extension, we obtain the proper Bogomol'nyi equations together with a Higgs potential allowing both topological and nontopological phases in the theory.

scholarly journals N = 2 MAXWELL–CHERN–SIMONS MODEL WITH ANOMALOUS MAGNETIC MOMENT COUPLING VIA DIMENSIONAL REDUCTION

1999 ◽  
Vol 14 (01) ◽  
pp. 147-159 ◽  
Author(s):  
H. R. CHRISTIANSEN ◽  
M. S. CUNHA ◽  
J. A. HELAYËL-NETO ◽  
L. R. U. MANSSUR ◽  
A. L. M. A. NOGUEIRA
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Dimensional Reduction ◽  
Gauge Potential ◽  
Nonminimal Coupling ◽  
Reduction Procedure ◽  
Supersymmetric Version ◽  
Component Field ◽  
Field Formalism ◽  
Chern Simons

An N = 1-supersymmetric version of the Cremmer–Scherk–Kalb–Ramond model with nonminimal coupling to matter is built up both in terms of superfields and in a component-field formalism. By adopting a dimensional reduction procedure, the (N = 2)-(D = 3) counterpart of the model comes out, with two main features: a genuine (diagonal) Chern–Simons term and an anomalous magnetic moment coupling between matter and the gauge potential.

scholarly journals Visible and hidden sectors in a model with Maxwell and Chern–Simons gauge dynamics

2016 ◽  
Vol 31 (34) ◽  
pp. 1650178 ◽  
Author(s):  
Edwin Ireson ◽  
Fidel A. Schaposnik ◽  
Gianni Tallarita
Keyword(s):  
Gauge Fields ◽  
Field Equations ◽  
Supersymmetric Extension ◽  
Abelian Gauge ◽  
Supersymmetric Version ◽  
Vortex Solutions ◽  
Set Up ◽  
Higgs Portal ◽  
Chern Simons ◽  
Two Sectors

We study a [Formula: see text] gauge theory discussing its vortex solutions and supersymmetric extension. In our set-up, the dynamics of one of two Abelian gauge fields is governed by a Maxwell term, the other by a Chern–Simons term. The two sectors interact via a BF gauge field mixing and a Higgs portal term that connects the two complex scalars. We also consider the supersymmetric version of this system which allows to find for the bosonic sector BPS equations in which an additional real scalar field enters into play. We study numerically the field equations finding vortex solutions with both magnetic flux and electric charge.

ON MAXWELL-CHERN-SIMONS THEORY WITH ANOMALOUS MAGNETIC MOMENT

1992 ◽  
Vol 07 (13) ◽  
pp. 1149-1156 ◽  
Author(s):  
Y. GEORGELIN ◽  
J. C. WALLET
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Magnetic Coupling ◽  
Contact Term ◽  
Simons Theory ◽  
Tree Level ◽  
Photon Mass ◽  
The One ◽  
Chern Simons ◽  
Chern Simons Theory

We analyze the Maxwell-Chern-Simons theory with minimal and tree level magnetic coupling to a fermion and a scalar. For a unique value of the magnetic moment, this theory allows one to recover an anyon-like behavior which however differs from the one of ideal anyons by an attractive contact term. For this particular value of the magnetic moment, we find that the physical photon mass does not receive one-loop radiative corrections. We comment this result and some physical aspects of the theory.

BOGOMOL’NYI EQUATIONS FOR NON-ABELIAN CHERN-SIMONS-HIGGS THEORIES

1991 ◽  
Vol 06 (06) ◽  
pp. 479-486 ◽  
Author(s):  
L.F. CUGLIANDOLO ◽  
G. LOZANO ◽  
M.V. MANÍAS ◽  
F.A. SCHAPOSNIK
Keyword(s):  
Angular Momentum ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Simons Theory ◽  
Higgs Potential ◽  
Topological Sector ◽  
Straightforward Generalization ◽  
Vortex Solutions ◽  
Chern Simons ◽  
Chern Simons Theory

We study the non-abelian Chern-Simons theory with spontaneous symmetry breaking. We find Bogomol’nyi type or self-dual equations for a particular choice of the Higgs potential; the corresponding vortex solutions for G=SU(2) carry both quantized electric charge Q= −en/2 and angular momentum J=nm2/4 (e is the fundamental charge, n is an integer associated with the Chern-Simons coefficient, and m is another integer which labels the topological sector). We propose a straightforward generalization to the SU(N) case.

scholarly journals CONTACT INTERACTIONS OF FREE ANYONS

1995 ◽  
Vol 10 (19) ◽  
pp. 1401-1407
Author(s):  
S. VOROPAEV
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Particle System ◽  
Low Energy ◽  
Contact Interactions ◽  
Finite Region ◽  
Energy Dynamics ◽  
Aharonov Bohm ◽  
Chern Simons

The possibility of the existence of “free” Schrödinger anyons is considered. It is shown that special type of contact interactions exists when scattering does not arise. By formulating the problem for the two-particle system with a finite region of interaction which is then allowed to go to zero, it is established that this type of the contact interactions is the analog of the anomalous magnetic moment for fermions in the Aharonov-Bohm field. Finally, we consider connections with the Dirac anyon physics and low energy dynamics of [U(1)]2 Chern-Simons solitons.

scholarly journals DECLINE AND FALL OF THE STANDARD MODEL?

2002 ◽  
Vol 17 (23) ◽  
pp. 3284-3299 ◽  
Author(s):  
JOHN ELLIS
Keyword(s):  
Dark Matter ◽  
Standard Model ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Cold Dark Matter ◽  
Beyond The Standard Model ◽  
Supersymmetric Extension ◽  
The Standard Model ◽  
Soft Supersymmetry Breaking ◽  
Minimal Supersymmetric Extension

Motivations for physics beyond the Standard Model are reviewed, with particular emphasis on supersymmetry at the TeV scale. Constraints on the minimal supersymmetric extension of the Standard Model with universal soft supersymmetry-breaking terms (CMSSM) are discussed. These are also combined with the supersymmetric interpretation of the anomalous magnetic moment of the muon. The prospects for observing supersymmetry at accelerators are reviewed using benchmark scenarios to focus the discussion. Prospects for other experiments including the detection of cold dark matter, μ → e γ and related processes, as well as proton decay are also discussed.

Anomalous magnetic moment for scalars and spinors in Maxwell-Chern-Simons electrodynamics

1994 ◽  
Vol 50 (10) ◽  
pp. 6610-6615 ◽  
Author(s):  
Yvon Georgelin ◽  
Jean-Christophe Wallet
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Chern Simons

scholarly journals BOGOMOL’NYI EQUATIONS FOR VORTICES IN BORN-INFELD HIGGS SYSTEMS

1991 ◽  
Vol 06 (15) ◽  
pp. 2635-2647 ◽  
Author(s):  
KIYOSHI SHIRAISHI ◽  
SATORU HIRENZAKI
Keyword(s):  
Scalar Field ◽  
Nonlinear Interaction ◽  
Specific Form ◽  
Higgs Potential ◽  
Supersymmetric Extension ◽  
Complex Scalar ◽  
Vortex Solutions ◽  
Complex Scalar Field ◽  
Higgs Fields

We study vortex solutions in the Born-Infeld theory coupled with a complex scalar field. We show that for a specific form of the “Higgs” potential the vortex satisfies a set of Bogomol’nyi-type equations. Another model, with nonlinear interaction between gauge and Higgs fields, is also considered. We show how it is derived from a supersymmetric extension of the Born-Infeld theory with a minimally coupled complex scalar field.

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