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Related papers: New vortex solution in SU(3) gauge-Higgs theory

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Topological defects such as monopoles, vortices and "chains"of the SU(3) gauge group are studied using its SU(2) subgroups. Two appropriate successive gauge transformations are applied to the subgroups to identify the chains of monopoles…

High Energy Physics - Phenomenology · Physics 2024-01-17 N. Karimimanesh , S. Deldar , Z. Asmaee

We construct Nielsen-Olesen vortex solution in the noncommutative abelian Higgs model. We derive the quantized topological flux of the vortex solution. We find that the flux is integral by explicit computation in the large $\theta$ limit as…

High Energy Physics - Theory · Physics 2009-10-31 Dileep P. Jatkar , Gautam Mandal , Spenta R. Wadia

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

It is shown that SU(2) QCD admits an dual Abelian-Higgs phase, with a Higgs vacuum type of type-II superconductor. This is done by using connection decomposition for the gluon field and the random-direction approximation. Using bag picture…

High Energy Physics - Theory · Physics 2015-05-13 Duojie Jia

We construct monopole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, carrying magnetic charge n. For vanishing and small Higgs selfcoupling, these multimonopole solutions are gravitationally bound. Their mass per unit charge is lower…

High Energy Physics - Theory · Physics 2009-10-31 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz

We construct novel solutions in $d\ge 3$ space dimensions of a family of nonlinear evolutions equations that includes the critical hyperbolic Abelian Higgs model (AHM). For the AHM, these solutions exhibit an ensemble of $N\ge 1$…

Analysis of PDEs · Mathematics 2025-12-16 Amirmasoud Geevechi , Robert L Jerrard

The O(3) sigma model and abelian Higgs model in two space dimensions admit topological (Bogomol'nyi) lower bounds on their energy. This paper proposes lattice versions of these systems which maintain the Bogomol'nyi bounds. One consequence…

High Energy Physics - Theory · Physics 2009-10-30 R. S. Ward

Traditional superconductors fall into two categories, type-I, expelling magnetic fields, and type-II, into which magnetic fields exceeding a lower critical field $H_{\rm c1}$ penetrate in form of Abrikosov vortices. Abrikosov vortices are…

Superconductivity · Physics 2024-09-16 M. C. Diamantini , C. A. Trugenberger , V. M. Vinokur

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

We consider the bosonic sector of a N=2 supersymmetric Chern-Simons-Higgs theory in 2+1 dimensions. The gauge group is U(1)xU(N) and has N_f flavors of fundamental matter fields. The model supports non-Abelian (axially symmetric) vortices…

High Energy Physics - Theory · Physics 2008-11-26 G. S. Lozano , D. Marques , E. F. Moreno , F. A. Schaposnik

Non-BPS non-Abelian vortices with CP^1 internal moduli space are studied in an N=2 supersymmetric U(1) x SU(2) gauge theory with softly breaking adjoint mass terms. For generic internal orientations the classical force between two vortices…

High Energy Physics - Theory · Physics 2010-05-27 Roberto Auzzi , Minoru Eto , Walter Vinci

We consider a generalization of abelian Chern-Simons-Higgs model by introducing a nonstandard kinetic term. In particular we show that the Bogomolnyi equations of the abelian Higgs theory may be obtained, being its solutions Nielsen-Olesen…

High Energy Physics - Theory · Physics 2013-03-26 Lucas Sourrouille

It has been shown recently that the motion of solitons at couplings around a critical coupling can be reduced to the dynamics of particles (the zeros of the Higgs field) on a curved manifold with potential. The curvature gives a velocity…

High Energy Physics - Theory · Physics 2009-10-28 P. A. Shah

We construct monopole-antimonopole chain and vortex solutions in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are static, axially symmetric and asymptotically flat. They are characterized by two integers (m,n) where m…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Burkhard Kleihaus , Jutta Kunz , Yasha Shnir

We find the static vortex solutions of the model of Maxwell-Chern-Simons gauge field coupled to a (2+1)-dimensional four-fermion theory. Especially, we introduce two matter currents coupled to the gauge field minimally: the electromagnetic…

High Energy Physics - Theory · Physics 2014-11-18 Seungjoon Hyun , Junsoo Shin , Jae Hyung Yee , Hyuk-jae Lee

We find a new type of topological vortex solution in the $U(1)_Z \times U(1)_A$ Chern Simons gauge theory in the presence of a $U(1)_A$ magnetic field background. In this theory $U(1)_Z$ is broken spontaneously by the $U(1)_A$ magnetic…

High Energy Physics - Theory · Physics 2015-11-04 Mohamed M. Anber , Yannis Burnier , Eray Sabancilar , Mikhail Shaposhnikov

A brief overview of Higgs physics and of supersymmetry is given. The central theme of the overview is to explore the implications of the recent discovery of a Higgs like particle regarding the prospects for the discovery of supersymmetry…

High Energy Physics - Phenomenology · Physics 2015-06-11 Pran Nath

In this work, we construct a double O(3)-sigma model minimally coupled to a Maxwell field in (2+1)-dimensional spacetime and investigate the existence of self-dual magnetic vortex solutions. An analysis of the Bogomol'nyi-Prasad-Sommerfield…

High Energy Physics - Theory · Physics 2026-05-01 Francisco C. E. Lima , Fernando M. Belchior , Allan R. P. Moreira

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 consider the vortex equations for a U(n) gauge field coupled to a Higgs field with values on the n times n square matrices. It is known that when these equations are defined on a compact Riemann surface, their moduli space of solutions…

High Energy Physics - Theory · Physics 2011-04-28 J. M. Baptista