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It is shown that the SU(2) semilocal model -- the Abelian Higgs model with two complex scalars -- admits a new class of stationary, straight string solutions carrying a persistent current and having finite energy per unit length. In the…

High Energy Physics - Theory · Physics 2009-11-11 Peter Forgacs , Sebastien Reuillon , Mikhail Volkov

We present a detailed analysis of classical solutions in the bosonic sector of the electroweak theory which describe vortices carrying a constant electric current ${\cal I}$. These vortices exist for any value of the Higgs boson mass and…

High Energy Physics - Theory · Physics 2012-10-04 Julien Garaud , Mikhail S. Volkov

Numerical data for the SU(2) confining string in the maximal abelian projection are analysed. The distribution of the electric flux and monopole currents are perfectly described by the classical equations of motion for the dual Abelian…

High Energy Physics - Lattice · Physics 2009-10-31 F. V. Gubarev , E. -M. Ilgenfritz , M. I. Polikarpov , T. Suzuki

The spatial distribution of fields and currents in confining theories can give direct evidence of dual superconductivity. We review the behavior of vortices in the lattice Higgs effective theory. We discuss the techniques for finding these…

High Energy Physics - Lattice · Physics 2016-09-01 Richard W. Haymaker

A new class of twisted, current carrying, stationary, straight string solutions having finite energy per unit length is constructed numerically in an extended Abelian Higgs model with global SU(2) symmetry. The new solutions correspond to…

High Energy Physics - Theory · Physics 2008-11-26 Peter Forgacs , Sebastien Reuillon , Mikhail S. Volkov

We show that the monopole currents which one obtains in the maximally Abelian gauge of SU(2) fall into two quite distinct classes (when the volume is large enough). In each field configuration there is precisely one cluster that permeates…

High Energy Physics - Lattice · Physics 2016-08-25 A. Hart , M. Teper

A type-II superconductor survives in an external magnetic field by admitting an Abrikosov lattice of quantized vortices. This is an imprint of the Aharonov-Bohm effect created by the Abelian U(1) gauge field. The simplest non-Abelian…

Strongly Correlated Electrons · Physics 2016-09-01 Predrag Nikolic

Non-Abelian flux-tube (string) solutions carrying global currents are found in the bosonic sector of 4-dimensional N=2 super-symmetric gauge theories. The specific model considered here posseses U(2)local x SU(2)global symmetry, with two…

High Energy Physics - Theory · Physics 2016-07-25 Peter Forgacs , Arpad Lukacs , Fidel A. Schaposnik

The Abelian Higgs model with or without external particles is considered in curved space. Using the dual transformation, we rewrite the model in terms of dual gauge fields and derive the Bogomol'nyi-type bound. We examine cylindrically…

High Energy Physics - Theory · Physics 2010-11-01 Chanju Kim , Yoonbai Kim

We obtain both topological as well as nontopological self-dual charged vortex solutions of finite energy per unit length in a generalized abelian Higgs model in $3+1$ dimensions. In this model the Bogomol'nyi bound on the energy per unit…

High Energy Physics - Theory · Physics 2007-05-23 Pijush K. Ghosh , Avinash Khare

We study the properties of vortex solutions and magnetic response of two-component $U(1)\times U(1)\times\mathbb{Z}_2$ superconductors, with phase separation driven by intercomponent density-density interaction. Such a theory can be viewed…

Superconductivity · Physics 2015-01-06 Julien Garaud , Egor Babaev

There exists a class of gauge models incorporating a finite density of matter in which the Higgs mechanism is provided by condensates of gauge (or gauge and scalar) fields, i.e., there are vector condensates in this case. We describe vortex…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. V. Gorbar , Junji Jia , V. A. Miransky

We find that Polyakov lines, computed in abelian-projected SU(2) lattice gauge theory in the confined phase, have finite expectation values for lines corresponding to two units of the abelian electric charge. This means that the…

High Energy Physics - Lattice · Physics 2016-09-01 J. Ambjorn , J. Giedt , J. Greensite

We present a finite energy topological Z(2) vortex solution in a 2+1 dimensional SO(3) gauge field theory minimally coupled to a matrix valued Higgs field. The vortex carries a Z(2) magnetic charge and obeys a modulo two addition property.…

High Energy Physics - Theory · Physics 2007-05-23 S. Cheluvaraja

We consider the Abelian-Higgs model with two complex scalar fields and arbitrary positive integer charges with the addition of a higher-order generalization of the Josephson term. The theory possesses vortices of both local and global…

High Energy Physics - Theory · Physics 2020-04-21 Chandrasekhar Chatterjee , Sven Bjarke Gudnason , Muneto Nitta

We construct exact vortex solutions in 3+1 dimensions to a theory which is an extension, due to Gies, of the Skyrme-Faddeev model, and that is believed to describe some aspects of the low energy limit of the pure SU(2) Yang-Mills theory.…

High Energy Physics - Theory · Physics 2010-01-15 L. A. Ferreira

We calculate the electric flux and magnetic monopole current distribution in the presence of a static quark-antiquark pair for SU(2) lattice gauge theory in the maximal Abelian gauge. The current distribution confines the flux in a dual…

High Energy Physics - Lattice · Physics 2009-10-22 V. Singh , D. A. Browne , R. W. Haymaker

We propose a $\mathbb{U}(1) \times \mathbb{Z}_2$ effective gauge theory for vortices in a $p_x+ip_y$ superfluid in two dimensions. The combined gauge transformation binds $\mathbb{U}(1)$ and $\mathbb{Z}_2$ defects so that the total…

Superconductivity · Physics 2015-07-29 Daniel Ariad , Babak Seradjeh , Eytan Grosfeld

We address the problem of determining the type I, type II or borderline dual superconductor behavior in maximal Abelian gauge SU(2) through the study of the dual Abrikosov vortex. We find that significant electric currents in the simulation…

High Energy Physics - Lattice · Physics 2008-11-26 Richard W. Haymaker , Takayuki Matsuki

We study dual Abrikosov vortices in Abelian projected SU(2) gauge theory in the Polyakov gauge. We show that vortices are present in this gauge but they are suppressed with respect to the maximal Abelian gauge. We interpret this difference…

High Energy Physics - Lattice · Physics 2009-10-28 K. Bernstein , G. Di Cecio , R. W. Haymaker
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