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We study the two-dimensional lattice multicomponent Abelian-Higgs model, which is a lattice compact U(1) gauge theory coupled with an N-component complex scalar field, characterized by a global SU(N) symmetry. In agreement with the…

Statistical Mechanics · Physics 2020-02-19 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We investigate vortex solutions to the Abelian Higgs field equations in a four dimensional de Sitter spacetime background. We obtain both static and dynamic solutions with axial symmetry that are generalizations of the Nielsen-Olesen gauge…

High Energy Physics - Theory · Physics 2009-11-07 A. M. Ghezelbash , R. B. Mann

Models are developed for the motion of charge-2 Abelian Higgs vortices through the 2-vortex moduli space $M$, with the vortices excited by their shape mode oscillations. The models simplify to the well-known geodesic flow on $M$, modified…

High Energy Physics - Theory · Physics 2024-10-08 A. Alonso-Izquierdo , N. S. Manton , J. Mateos Guilarte , A. Wereszczynski

The scattering is studied using moduli space metric for well-separated vortices of non-Abelian vortices in (2+1)-dimensional U(N) gauge theories with N Higgs fields in the fundamental representation. Unlike vortices in the Abelian-Higgs…

High Energy Physics - Theory · Physics 2011-12-30 Minoru Eto , Toshiaki Fujimori , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

Applying Cho-Faddeev-Niemi decomposition for SU(2) Yang-Mills field, we obtain the Abelian-Higgs Lagrangian by some approximation. Abelian-Higgs Lagrangian with a spontaneous symmetry breaking potential has vortex solutions known as…

High Energy Physics - Theory · Physics 2014-03-31 Ahmad Mohamadnejad , Sedigheh Deldar

New solutions to the abelian U(1) Higgs model, corresponding to vortices of integer and half-integer winding number bound onto the edges of domain walls and possibly surrounded by annular current flows, are described, based on a…

High Energy Physics - Theory · Physics 2008-11-26 Jan Govaerts

We investigate string solutions to the classical equations of motion ("classical QCD strings") for a dual Ginzburg-Landau model corresponding to SU(3) gluodynamics in an abelian projection. For a certain relation between couplings of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. N. Chernodub

We have constructed numerically non-Abelian vortices in an SU(2) Chern-Simons-Higgs theory with a quartic Higgs potential. We have analyzed these solutions in detail by means of improved numerical codes and found some unexpected features we…

High Energy Physics - Theory · Physics 2017-10-04 J. L. Blazquez-Salcedo , L. M. Gonzalez-Romero , F. Navarro-Lerida , D. H. Tchrakian

We employ the Einstein-Abelian-Higgs theory to investigate the structure of vortex-antivortex lattices within a superconductor driven by spatial periodic magnetic fields. By adjusting the parameters of the external magnetic field, including…

High Energy Physics - Theory · Physics 2023-11-13 Jia-Hao Su , Chuan-Yin Xia , Wei-Can Yang , Hua-Bi Zeng

The Ginzburg-Landau equations play a key role in superconductivity and particle physics. They inspired many imitations in other areas of physics. These equations have two remarkable classes of solutions -- vortices and (Abrikosov) vortex…

Mathematical Physics · Physics 2016-08-15 Israel Michael Sigal , Tim Tzaneteas

An integral relation between two functions parametrizing the bilocal field strength correlator within the Stochastic Vacuum Model is obtained in the effective Abelian-projected SU(2)-theory. This relation is independent of the concrete…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dmitri Antonov

In the maximally Abelian gauge of SU(2), the clusters of monopole current are found to divide into two distinct classes. The largest cluster permeates the lattice, has a density that scales and produces the string tension. The remaining…

High Energy Physics - Lattice · Physics 2009-10-30 A. Hart , M. Teper

The interplay of gauge dynamics and flavor symmetries often leads to remarkably subtle phenomena in the presence of soliton configurations. Non-Abelian vortices -- vortex solutions with continuous internal orientational moduli -- provide an…

High Energy Physics - Theory · Physics 2014-01-23 Jarah Evslin , Kenichi Konishi , Muneto Nitta , Keisuke Ohashi , Walter Vinci

A recent study demonstrated the existence of oscillons -- extremely long-lived localized configurations that undergo regular oscillations in time -- in spontaneously broken SU(2) gauge theory with a fundamental Higgs particle whose mass is…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham

We report on the existence of a new type of cosmic string solutions in the Witten model with U(1)xU(1) symmetry. These solutions are superconducting with radially excited condensates that exist for both gauge and ungauged currents. Our…

High Energy Physics - Theory · Physics 2017-04-05 Betti Hartmann , Florent Michel , Patrick Peter

In this paper we establish the existence of vortex solutions for a Chern--Simons--Higgs model with gauge group $SU(N) \times U(1)$ and flavor SU(N), these symmetries ensuring the existence of genuine non-Abelian vortices through a…

Analysis of PDEs · Mathematics 2013-09-10 Shouxin Chen , Xiaosen Han , Gustavo Lozano , F. A. Schaposnik

We study a three dimensional Abelian Higgs model containing singly- and doubly-charged scalar fields coupled to a compact Abelian gauge field in the London limit. The model attracts interest because of its relevance to high-Tc…

High Energy Physics - Lattice · Physics 2007-05-23 M. N. Chernodub , Arwed Schiller , E. -M. Ilgenfritz

We demonstrate that, in contrast to the single-component Abrikosov vortex, in two-component superconductors vortex solutions with exponentially screened magnetic field exist only in exceptional cases: in the case of vortices carrying an…

Superconductivity · Physics 2011-10-17 Egor Babaev , Juha Jäykkä , Martin Speight

Strings in $\mathcal{N}=2$ supersymmetric ${\rm U}(1)^N$ gauge theories with $N$ hypermultiplets are studied in the generic setting of an arbitrary Fayet-Iliopoulos triplet of parameters for each gauge group and an invertible charge matrix.…

High Energy Physics - Theory · Physics 2021-03-11 Sven Bjarke Gudnason , Minoru Eto , Muneto Nitta

We present the simplest possible model for a semi-local string defect in which a U(1) gauged subgroup of an otherwise global SU(2) is broken to produce local cosmic strings endowed with current-carrying properties. Restricting attention to…

High Energy Physics - Theory · Physics 2015-06-04 Betti Hartmann , Patrick Peter
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