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Related papers: Nontopological self-dual Maxwell-Higgs vortices

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We develop a new method for obtaining the BPS equations of static vortices motivated by the results of the \textit{On-Shell} method on the standard Maxwell-Higgs model and its Born-Infeld-Higgs model~\cite{Atmaja:2014fha}. Our method relies…

High Energy Physics - Theory · Physics 2017-03-22 Ardian Nata Atmaja

Vortices are topological objects formed in coherent nonlinear systems. As such they are studied in a wide number of physical systems and promise applications in information storage, processing, and communication. In semiconductor…

Optics · Physics 2018-12-05 Xuekai Ma , Stefan Schumacher

In this note we investigate bound states, where scalar and vector bosons are trapped by BPS vortices in the Abelian Higgs model with a critical ratio of the couplings. A class of internal modes of fluctuation around cylindrically symmetric…

High Energy Physics - Theory · Physics 2016-03-01 A. Alonso-Izquierdo , W. Garcia Fuertes , J. Mateos Guilarte

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

We consider a general class of non-local MCS models whose usual minimal coupling to a conserved current is supplemented with a (non-minimal) magnetic Pauli-type coupling. We find that the considered models exhibit a self-duality whenever…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Chandelier , Y. Georgelin , T. Masson , J. -C. Wallet

We study properties of Z-vortices in the crossover region of the 3D SU(2) Higgs model. Correlators of the vortex currents with gauge field energy and Higgs field squared ("quantum vortex profile") reveal a structure that can be compared…

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

Making use of $\phi$-mapping topological current method, we discuss the self-dual vortices in the Abelian Chern-Simons model with two complex scalar fields. For each scalar field, an exact nontrivial equation with a topological term which…

High Energy Physics - Theory · Physics 2008-11-07 Yi-Shi Duan , Li-Da Zhang , Yu-Xiao Liu

We construct explicit BPS and non-BPS solutions of the Yang-Mills equations on noncommutative spaces R^{2n}_theta x G/H which are manifestly G-symmetric. Given a G-representation, by twisting with a particular bundle over G/H, we obtain a…

High Energy Physics - Theory · Physics 2008-11-26 Olaf Lechtenfeld , Alexander D. Popov , Richard J. Szabo

A new method for the creation of 3D solitary topological modes, corresponding to vortical droplets of a two-component dilute superfluid, is presented. We use the recently introduced system of nonlinearly coupled Gross-Pitaevskii equations,…

Quantum Gases · Physics 2018-07-18 Yaroslav V. Kartashov , Boris A. Malomed , Leticia Tarruell , Lluis Torner

We examine the formation of vortices during the nonequilibrium relaxation of a high-temperature initial state of an Abelian-Higgs system. We equilibrate the scalar and gauge fields using gauge-invariant Langevin equations and relax the…

Superconductivity · Physics 2011-07-19 G. J. Stephens , Luis M. A. Bettencourt , W. H. Zurek

Theories, simulations and experiments on vortex dynamics in quasi-two-dimensional magnetic materials are reviewed. These materials can be modelled by the classical two-dimensional anisotropic Heisenberg model with XY (easy-plane) symmetry.…

Condensed Matter · Physics 2007-05-23 F. G. Mertens , A. R. Bishop

The low energy dynamics of vortices in selfdual Abelian Higgs theory is of second order in vortex velocity and characterized by the moduli space metric. When Chern-Simons term with small coefficient is added to the theory, we show that a…

High Energy Physics - Theory · Physics 2009-11-07 Yoonbai Kim , Kimyeong Lee

Rotating magnetic structures are common in astrophysics, from vortex tubes and tornados in the Sun all the way to jets in different astrophysical systems. The physics of these objects often combine inertial, magnetic, gas pressure and…

Solar and Stellar Astrophysics · Physics 2018-08-29 Manuel Luna , Eric Priest , Fernando Moreno-Insertis

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

Composite non-Abelian vortices in N=2 supersymmetric U(2) SQCD are investigated. The internal moduli space of an elementary non-Abelian vortex is CP^1. In this paper we find a composite state of two coincident non-Abelian vortices…

High Energy Physics - Theory · Physics 2014-11-18 R. Auzzi , M. Shifman , A. Yung

We consider an instationary macroscopic system of self-interacting particles with an additional potential, the so called Bohm's potential. We study the existence of non-negative global solutions to the (4-th order) system of equations and…

Analysis of PDEs · Mathematics 2015-01-08 Oliver Tse

Non-abelian gauge theories in the Higgs phase admit a startling variety of BPS solitons. These include domain walls, vortex strings, confined monopoles threaded on vortex strings, vortex strings ending on domain walls, monopoles threaded on…

High Energy Physics - Theory · Physics 2009-11-11 Norisuke Sakai , David Tong

We explore the properties of non-BPS multi-centre extremal black holes in ungauged N=2 supergravity coupled to n_v vector multiplets, as described by solutions to the composite non-BPS linear system. After setting up an explicit description…

High Energy Physics - Theory · Physics 2015-06-17 Guillaume Bossard , Stefanos Katmadas

In this work we study magnetic vortices on the hyperbolic plane for a Chern-Simons-Schr\"odinger system introduced by Manton. The model can be thought of as the Schr\"odinger analogue of the Abalian-Higgs model. It consists of a system of…

Analysis of PDEs · Mathematics 2025-09-09 Oussama Landoulsi , Sohrab Shahshahani

We discuss the statistical mechanics of a gas of gauged vortices in the canonical formalism. At critical self-coupling, and for low temperatures, it has been argued that the configuration space for vortex dynamics in each topological class…

High Energy Physics - Theory · Physics 2011-04-08 Nuno M. Romão