String tension in the three-dimensional Abelian Higgs model

1988 ◽  
Vol 40 (4) ◽  
pp. 627-631
Author(s):  
Kostas Farakos ◽  
George Koutsoumbas ◽  
Stavros Sarantakos
Keyword(s):  
Three Dimensional ◽  
String Tension ◽  
Higgs Model ◽  
Abelian Higgs Model

scholarly journals NONPERTURBATIVE FIELD CORRELATOR AND STRING REPRESENTATION FOR THE 't HOOFT LOOP AVERAGE IN THE ABELIAN HIGGS MODEL

1998 ◽  
Vol 13 (09) ◽  
pp. 659-671 ◽  
Author(s):  
D. V. ANTONOV
Keyword(s):  
Field Strength ◽  
Higgs Field ◽  
Exact Result ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
String Tension ◽  
Higgs Model ◽  
Effective Theory ◽  
Abelian Higgs Model ◽  
String Representation

Making use of the duality transformation, we derive in the Londons' limit of the Abelian Higgs model string representation for the 't Hooft loop average defined on the string worldsheet, which yields the values of two coefficient functions parametrizing the bilocal correlator of the dual field strength tensors. The asymptotic behaviors of these functions agree with the ones obtained within the method of vacuum correlators in QCD in the lowest order of perturbation theory. We demonstrate that the bilocal approximation to the method of vacuum correlators is an exact result in the Londons' limit, i.e. all the higher cumulants in this limit vanish. We also show that at large distances, apart from the integration over metrics, the obtained string effective theory (which in this case reduces to the nonlinear massive axionic sigma model) coincides with the low energy limit of the dual version of 4D compact QED, the so-called universal confining string theory. We derive string tension of the Nambu–Goto term and the coupling constant of the rigidity term for the obtained string effective theory and demonstrate that the latter is always negative, which means the stability of strings, while the positiveness of the former is confirmed by the present lattice data. These data enable us to find the Higgs boson charge and the vacuum expectation value of the Higgs field, which well-described QCD. We also study dynamics of the weight factor of the obtained string representation for the 't Hooft average in the loop space. In conclusion, we obtain string representation for the partition function of the correlators of an arbitrary number of Higgs currents, by virtue of which we rederive the structure of the bilocal correlator of the dual field strength tensors, which yields the surface term in the string effective action.

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

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.

Sign in / Sign up

Export Citation Format

Share Document