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Related papers: Vortes solutions in nonabelian Higgs theories

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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

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

Vortex configurations in the electroweak gauge theory are investigated. Two gauge-inequivalent solutions of the field equations, the Z and W vortices, have previously been found. They correspond to embeddings of the abelian Nielsen-Olesen…

High Energy Physics - Phenomenology · Physics 2009-10-28 Samuel W. MacDowell , Ola Törnkvist

Vortices in the SU(2)--Higgs model: The presence of a fundamental Higgs in the SU(N)-Higgs model yields color screening at some finite distance. Whereas the transition to the Higgs "phase" is accompanied by a suppression of projected center…

High Energy Physics - Lattice · Physics 2008-11-26 Roman Bertle , Manfried Faber , Albert Hirtl

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 show that Abelian Higgs Models with dielectric function defined on the noncommutative plane enjoy self-dual vorticial solutions. By choosing a particular form of the dielectric function, we provide a family of solutions whose Higgs and…

High Energy Physics - Theory · Physics 2014-05-01 W. García Fuertes , J. Mateos Guilarte

We discuss general properties and possible types of magnetic vortices in non-Abelian gauge theories (we consider here $G= SU(N), SO(N), USp(2N)$) in the Higgs phase. The sources of such vortices carry "fractional" quantum numbers such as…

High Energy Physics - Theory · Physics 2009-11-07 K. Konishi , L. Spanu

We study the properties of classical vortex solutions in a non-Abelian gauge theory. A system of two adjoint Higgs fields breaks the SU(2) gauge symmetry to $Z_2$, producing 't Hooft-Polyakov monopoles trapped on cosmic strings, termed…

High Energy Physics - Theory · Physics 2016-12-15 Mark Hindmarsh , Kari Rummukainen , David J. Weir

Smeared Abelian and center gauges are introduced in pure non-Abelian lattice gauge theories. Popular Abelian and center gauges are limits of smeared gauges. Smeared gauges are also shown to be equivalent to Higgs theories. As a result,…

High Energy Physics - Lattice · Physics 2007-05-23 P. Suranyi

The classical massless SU(2) field theory has an infinite number of gauge equivalent representations of the vacuum. We show that among these there exists a non-perturbative center vortex representation with some similarity to the quantum…

High Energy Physics - Theory · Physics 2016-11-10 P. Olesen

In this work, we propose a class of SU(N) Yang-Mills models, with adjoint Higgs fields, that accept BPS center vortex equations. The lack of a local magnetic flux that could serve as an energy bound is circumvented by including a new term…

High Energy Physics - Theory · Physics 2015-11-26 L. E. Oxman

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 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 consider a complex vector bundle E endowed with a connection A over the eight-dimensional manifold R^2 x G/H, where G/H = SU(3)/U(1)xU(1) is a homogeneous space provided with a never integrable almost complex structure and a family of…

High Energy Physics - Theory · Physics 2014-11-20 Alexander D. Popov

An existence theorem is established for the solutions to the non-Abelian relativistic Chern--Simons--Higgs vortex equations over a doubly periodic domain when the gauge group $G$ assumes the most general and important prototype form,…

Analysis of PDEs · Mathematics 2021-01-28 Xiaosen Han , Yisong Yang

Vortices represent a class of topological solitons arising in gauge theories coupled with complex scalar fields, holding significant importance across various domains of modern physics. In this paper we establish the existence of vortex…

Analysis of PDEs · Mathematics 2025-11-11 Guange Su , Xiaosen Han

Two sharp existence and uniqueness theorems are presented for solutions of multiple vortices arising in a six-dimensional brane-world supersymmetric gauge field theory under the general gauge symmetry group $G=U(1)\times SU(N)$ and with $N$…

Analysis of PDEs · Mathematics 2015-06-04 Shouxin Chen , Yisong Yang

Non-Abelian BPS vortex solutions are constructed in N=2 theories with gauge groups SO(N)\times U(1). The model has N_f flavors of chiral multiplets in the vector representation of SO(N), and we consider a color-flavor locked vacuum in which…

High Energy Physics - Theory · Physics 2008-11-26 Luca Ferretti , Sven Bjarke Gudnason , Kenichi Konishi

We analyze the existence of string-like defects in a two-Higgs-doublet system having $SU(2) \times U(1)_Y \times U(1)_{Y^{\prime}}$ as gauge group. We are able to show that, when certain relations among the parameters hold, these…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. Bimonte , G. Lozano

We study the mechanism of confinement via formation of Abrikosov-Nielsen-Olesen vortices on the Higgs branch of N=2 supersymmetric SU(2) gauge theory with massive fundamental matter. Higgs branch represents a limiting case of superconductor…

High Energy Physics - Theory · Physics 2010-05-27 Alexei Yung
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