Three-dimensional Abelian Higgs model: Confinement and the Aharonov-Bohm effect

JETP Letters ◽  
1996 ◽  
Vol 63 (7) ◽  
pp. 516-519 ◽  
Author(s):  
F. V. Gubarev ◽  
M. I. Polikarpov ◽  
M. N. Chernodub
Keyword(s):  
Three Dimensional ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals Strings and Aharonov–Bohm effect in Abelian Higgs model

1998 ◽  
Vol 432 (1-2) ◽  
pp. 182-186 ◽  
Author(s):  
M.N. Chernodub ◽  
M.I. Polikarpov ◽  
A.I. Veselov ◽  
M.A. Zubkov
Keyword(s):  
Higgs Model ◽  
Abelian Higgs Model ◽  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals Towards Noncommutative Linking Numbers via the Seiberg-Witten Map

2015 ◽  
Vol 2015 ◽  
pp. 1-12
Author(s):  
H. García-Compeán ◽  
O. Obregón ◽  
R. Santos-Silva
Keyword(s):  
Three Dimensional ◽  
Simons Theory ◽  
Dimensional Manifold ◽  
First Order ◽  
Linking Number ◽  
Linking Numbers ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Chern Simons ◽  
Noncommutative Parameter

Some geometric and topological implications of noncommutative Wilson loops are explored via the Seiberg-Witten map. In the abelian Chern-Simons theory on a three-dimensional manifold, it is shown that the effect of noncommutativity is the appearance of6nnew knots at thenth order of the Seiberg-Witten expansion. These knots are trivial homology cycles which are Poincaré dual to the higher-order Seiberg-Witten potentials. Moreover the linking number of a standard 1-cycle with the Poincaré dual of the gauge field is shown to be written as an expansion of the linking number of this 1-cycle with the Poincaré dual of the Seiberg-Witten gauge fields. In the process we explicitly compute the noncommutative “Jones-Witten” invariants up to first order in the noncommutative parameter. Finally in order to exhibit a physical example, we apply these ideas explicitly to the Aharonov-Bohm effect. It is explicitly displayed at first order in the noncommutative parameter; we also show the relation to the noncommutative Landau levels.

scholarly journals Three phases in the three-dimensional Abelian-Higgs model with nonlocal gauge interactions

2006 ◽  
Vol 74 (7) ◽  
Author(s):  
Shunsuke Takashima ◽  
Ikuo Ichinose ◽  
Tetsuo Matsui ◽  
Kazuhiko Sakakibara
Keyword(s):  
Three Dimensional ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Three Phases

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.

scholarly journals EFFECTIVE POTENTIALS AND SYMMETRY RESTORATION IN THE CHIRAL ABELIAN HIGGS MODEL

1995 ◽  
Vol 10 (12) ◽  
pp. 997-1009
Author(s):  
JENS O. ANDERSEN
Keyword(s):  
Three Dimensional ◽  
Higgs Model ◽  
Effective Theory ◽  
Gauge Parameter ◽  
Dimensional Theory ◽  
Abelian Higgs Model ◽  
Effective Potentials ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

The chiral Abelian Higgs model is studied at finite temperature. By integrating out the heavy modes, we make a three-dimensional effective theory for the static modes. It is demonstrated that the plasma masses are correctly reproduced to leading order in m2/T2. The effective potential for the composite operator ɸ†ɸ is calculated at one-loop for the resulting three-dimensional theory and it is shown that the result is gauge parameter independent. The numerical investigation of the potential reveals that the symmetry is restored via a first-order phase transition. Comparison with the ordinary ring improved potential is made and it is found that the barrier height at Tc is somewhat higher.

CLASSICAL VORTEX SOLUTIONS IN THREE-DIMENSIONAL SUPERSYMMETRIC ABELIAN-HIGGS MODEL

1990 ◽  
Vol 05 (08) ◽  
pp. 581-592 ◽  
Author(s):  
E.R. BEZERRA DE MELLO
Keyword(s):  
Asymptotic Behavior ◽  
Gauge Field ◽  
Electric Charge ◽  
Three Dimensional ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Cylindrically Symmetric ◽  
Fermionic Fields ◽  
Vortex Solutions ◽  
Fermionic Degree

Classical vortex solutions in a three-dimensional supersymmetric Abelian-Higgs model are presented. A cylindrically symmetric ansatz for the bosonic and fermionic fields is used, and the asymptotic behavior for these fields are also obtained. No electric charge for this model is found, although the temporal component for the bosonic gauge field is not zero. Finally, after we have integrated over all the fermionic degree of freedom, a purely bosonic action is obtained.

scholarly journals Decoupling of layers in the three-dimensional Abelian Higgs model

2001 ◽  
Vol 63 (5) ◽  
Author(s):  
P. Dimopoulos ◽  
K. Farakos ◽  
G. Koutsoumbas
Keyword(s):  
Three Dimensional ◽  
Higgs Model ◽  
Abelian Higgs Model

Phase structure of the three-dimensional radially active Abelian Higgs model

1988 ◽  
Vol 40 (3) ◽  
pp. 465-470 ◽  
Author(s):  
Kostas Farakos ◽  
George Koutsoumbas ◽  
Stavros Sarantakos
Keyword(s):  
Phase Structure ◽  
Three Dimensional ◽  
Higgs Model ◽  
Abelian Higgs Model
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