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The low energy dynamics of the vortices of the Abelian Chern-Simons-Higgs system is investigated from the adiabatic approach. The difficulties involved in treating the field evolution as motion on the moduli space in this system are shown.…

High Energy Physics - Theory · Physics 2008-11-26 W. Garcia Fuertes , J. Mateos Guilarte

We give a detailed account of the construction of non--trivial localized solutions in a 2+1 dimensional model of superconductors using a 3+1 dimensional gravitational dual theory of a black hole coupled to a scalar field. The solutions are…

High Energy Physics - Theory · Physics 2009-12-31 Tameem Albash , Clifford V. Johnson

We deal with planar vortex structures in Maxwell-Higgs models in the presence of a generalized magnetic permeability. The model under investigation engenders a real parameter that controls the behavior of the tail of the solutions and of…

High Energy Physics - Theory · Physics 2020-03-24 D. Bazeia , M. A. Marques , R. Menezes

Following a brief review of known vortex solutions in SU(N) gauge-adjoint Higgs theories we show the existence of a new ``minimal'' vortex solution in SU(3) gauge theory with two adjoint Higgs bosons. At a critical coupling the vortex…

High Energy Physics - Theory · Physics 2009-10-31 F. A. Schaposnik , P. Suranyi

In this work, we propose an exponentially generalized Abelian model. We investigated the presence of vortex structures in models coupled to Maxwell and Chern-Simons fields. We chose to investigate the dynamics of the complex scalar field in…

High Energy Physics - Theory · Physics 2022-06-15 F. C. E. Lima , C. A. S. Almeida

We consider the Abelian Higgs model as well as the SU(2) Georgi-Glashow model in which the gauge field action is replaced by a non linear Born-Infeld action. We study soliton solutions arising in these models, namely the vortex and monopole…

High Energy Physics - Theory · Physics 2009-11-07 Yves Brihaye , Betti Hartmann

We study in detail the internal structure of rotationally invariant higher-charge Abelian-Higgs vortices. The symmetry of the normal modes close to the critical regime for type II vortices determines the possible disintegration channels.…

High Energy Physics - Theory · Physics 2025-06-27 A. Alonso-Izquierdo , D. Miguélez-Caballero , J. Queiruga

The contribution of nontrivial vacuum (topological) excitations, more specifically vortex configurations of the self-dual Chern-Simons-Higgs model, to the functional partition function is considered. By using a duality transformation, we…

High Energy Physics - Theory · Physics 2008-11-07 Rudnei O. Ramos , J. F. Medeiros Neto

We study three-dimensional Yang-Mills-Higgs theories with and without a Chern-Simons interaction. We find that these theories admit a rich spectrum of vortex solitons carrying both a topological charge and a global flavour charge. We…

High Energy Physics - Theory · Physics 2009-02-09 Benjamin Collie

The Abelian Higgs model is an appropriate field theoretic framework for the description of superconductivity and its topological excitations(Nielson-Olesen-Abrikosov vortex). Recently, C.-Y. Hou etl [ Phys. Rev. lett.\textbf{98} 186809…

Other Condensed Matter · Physics 2011-01-04 Jia-Ning Zhang

We consider a single Abelian Higgs vortex on a surface {\Sigma} whose Gaussian curvature K is small relative to the size of the vortex, and analyse vortex motion by using geodesics on the moduli space of static solutions. The moduli space…

High Energy Physics - Theory · Physics 2015-06-16 Daniele Dorigoni , Maciej Dunajski , Nicholas S. Manton

We discuss a possible exact equivalence of the Abelian Higgs model and a scalar theory of a magnetic vortex field in 2+1 dimensions. The vortex model has a current - current interaction and can be viewed as a strong coupling limit of a…

High Energy Physics - Theory · Physics 2015-06-26 A. Kovner , P. Kurzepa , B. Rosenstein

Volume of moduli space of BPS vortices on a compact genus h Riemann surface Sigma_h is evaluated by means of topological field theory and localization technique. Vortex in Abelian gauge theory with a single charged scalar field (ANO vortex)…

High Energy Physics - Theory · Physics 2015-06-03 Akiko Miyake , Kazutoshi Ohta , Norisuke Sakai

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

In this paper we establish the existence of multi-vortices for a generalized self-dual Chern--Simons model. Doubly periodic vortices, topological and non-topological vortex solutions are constructed for this model. For the existence of…

Mathematical Physics · Physics 2015-03-13 Xiaosen Han

The BPS limit of the inhomogeneous abelian Higgs model is considered in $(1+2)$-dimensions. The second order Bogomolny equation is examined in the presence of an inhomogeneity expressed as a function of spatial coordinates. Assuming a…

Analysis of PDEs · Mathematics 2024-09-24 SeungJun Jeon , Chanju Kim , Yoonbai Kim

Non Abelian vortices of a SU(2) Chern-Simons--Higgs theory in 2+1 dimensions are constructed numerically. They represent natural counterparts of the U(1) solutions considered by Hong, Kim and Pac, and, by Jackiw and Weinberg. The Abelian…

High Energy Physics - Theory · Physics 2009-11-06 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

We consider two self-dual abelian Higgs systems obtained from Lorentz breaking symmetry models by dimensional reduction. For the first model, we show that the self-dual equations are identical to those of Nielsen-Olesen vortices. Also, we…

High Energy Physics - Theory · Physics 2014-04-15 Lucas Sourrouille

The nature of the Abelian Higgs Model phase transition is investigated. A variational approximation is used in the evaluation of the relevant finite temperature effective potential. Some of the results presented are valid not only in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Amelino-Camelia

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
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