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Related papers: Compact Chern-Simons vortices

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We study the effect of a Chern-Simons term on the electrically charged and spinning solitons of several $U(1)$ gauged models in $2+1$ dimensions. These are vortices of complex scalar field theories, both with and without symmetry breaking…

High Energy Physics - Theory · Physics 2017-04-26 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

We study some properties of topological Chern-Simons vortices in 2 + 1 dimensions. As has already been understood in the past, in the large magnetic flux limit, they are well described by a Chern-Simons domain wall, which has been…

High Energy Physics - Theory · Physics 2010-05-27 Stefano Bolognesi , Sven Bjarke Gudnason

We investigate the influence of the Chern-Simons term coupled to the three-dimensional $x-y$ model. This term endows vortices with an internal angular momentum and thus gives them arbitrary statistics. The Chern-Simons term for the $x-y$…

High Energy Physics - Lattice · Physics 2007-05-23 Norbert Schultka , Efstratios Manousakis

We study the structure and properties of vortices in a recently proposed Abelian Maxwell-Chern-Simons model in $2 +1 $ dimensions. The model which is described by gauge field interacting with a complex scalar field, includes two parity and…

High Energy Physics - Theory · Physics 2009-10-30 Armando Antillon , Joaquin Escalona , Manuel Torres

We study vortex dynamics in three-dimensional theories with Chern-Simons interactions. The dynamics is governed by motion on the moduli space M in the presence of a magnetic field. For Abelian vortices, the magnetic field is shown to be the…

High Energy Physics - Theory · Physics 2009-02-20 Benjamin Collie , David Tong

The purpose of this Letter is to present a computation of the interaction energy of gauged O(3) Chern-Simons vortices which are infinitely separated. The results will show the behaviour of the interaction energy as a function of the…

High Energy Physics - Theory · Physics 2009-10-30 K. Arthur

We introduced a generalized Maxwell-Higgs model in a $(3+1)$ isotropic spacetime, and we found their stationary solutions using the BPS approach in curved spacetime. In order to investigate the compact-like vortices, we assume a particular…

General Relativity and Quantum Cosmology · Physics 2021-11-17 F. C. E. Lima , C. A. S. Almeida

We construct new classes of vortex-like solutions of the CP^N model in (3+1) dimensions and discuss some of their properties. These solutions are obtained by generalizing to (3+1) dimensions the techniques well established for the two…

High Energy Physics - Theory · Physics 2013-05-29 L. A. Ferreira , P. Klimas , W. J. Zakrzewski

In this work, we investigated the existence of compacton-like configuration in the O(3)-sigma model. We consider a minimally coupled O(3)-sigma model with a gauge field governed by a generalized Chern-Simons term. Contrary to that…

High Energy Physics - Theory · Physics 2020-08-26 F. C. E. Lima , D. M. Dantas , C. A. S. Almeida

We consider Maxwell-Chern-Simons models involving different non-minimal coupling terms to a non relativistic massive scalar and further coupled to an external uniform background charge. We study how these models can be constrained to…

Other Condensed Matter · Physics 2009-11-10 F. Chandelier , Y. Georgelin , M. Lassaut , T. Masson , J. C. Wallet

We examine vortices in Abelian Chern-Simons theory coupled to a relativistic scalar field with a chemical potential for particle number or U(1) charge. The Gauss constraint requires chemical potential for the local symmetry to be…

High Energy Physics - Theory · Physics 2019-12-25 S. Prem Kumar , Stanislav Stratiev

We establish an existence theorem for the doubly periodic vortices in a generalized self-dual Chern--Simons model. We show that there exists a critical value of the coupling parameter such that there exits self-dual doubly periodic vortex…

Mathematical Physics · Physics 2012-07-12 Xiaosen Han

We present a class of solutions of the CPN model in (3+1) dimensions. We suggest that they represent vortex-like configurations. We also discuss some of their properties. We show that some configurations of vortices have a divergent energy…

High Energy Physics - Theory · Physics 2011-06-02 L. A. Ferreira , P. Klimas , W. J. Zakrzewski

Vortices the $SO(2)$ gauged planar Skyrme model, with a) only Maxwell, b) only Chern-Simons, and c) both Maxwell and Chern-Simons dynamics are studied systematically. In cases a) and b), where both models feature a single parameter…

High Energy Physics - Theory · Physics 2019-02-20 Francisco Navarro-Lerida , D. H. Tchrakian

We investigate the presence of vortex structures in generalized Maxwell-Higgs and Chern-Simons-Higgs models in the three-dimensional spacetime. Despite the important difference between the Maxwell and Chern-Simons dynamics, we have been…

High Energy Physics - Theory · Physics 2018-09-18 D. Bazeia , M. A. Marques , D. Melnikov

Parity violating superconductors can support a low-dimension local interaction that becomes, upon condensation, a purely spatial Chern-Simons term. Solutions to the resulting generalized London equations can be obtained from solutions of…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Marcus Stålhammar , Darya Rudneva , Thors Hans Hansson , Frank Wilczek

We study the locality properties of the vortex operators in compact U(1) Maxwell-Chern-Simons and SU(N) Yang-Mills-Chern-Simons theories in 2+1 dimensions. We find that these theories do admit local vortex operators and thus in the UV…

High Energy Physics - Theory · Physics 2009-10-31 Gerald Dunne , Alex Kovner , Bayram Tekin

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

For the abelian self-dual Chern-Simons-Higgs model we address existence issues of periodic vortex configurations -- the so-called condensates-- of non-topological type as $k \to 0$, where $k>0$ is the Chern-Simons parameter. We provide a…

Analysis of PDEs · Mathematics 2014-08-05 Manuel del Pino , Pierpaolo Esposito , Pablo Figueroa , Monica Musso

Existence of Maxwell-Chern-Simons-Higgs (MCSH) vortices in a Hermitian line bundle $\L$ over a general compact Riemann surface $\Sigma$ is proved by a continuation method. The solutions are proved to be smooth both spatially and as…

High Energy Physics - Theory · Physics 2018-09-26 S. P. Flood , J. M. Speight
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