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Related papers: Long range vortex configurations in generalized mo…

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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

Self-dual vortex solutions are studied in detail in the generalized abelian Higgs model with independent Chern-Simons interaction. For special choices of couplings, it reduces to a Maxwell-Higgs model with two scalar fields, a…

High Energy Physics - Theory · Physics 2009-10-22 Chanju Kim

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 report on a new topological vortex solution in U(1)$\times$U(1) Maxwell-Chern-Simons theory. The existence of the vortex is envisaged by analytical means, and a numerical solution is obtained by integrating the equations of motion. These…

High Energy Physics - Theory · Physics 2015-09-23 Mohamed M. Anber , Yannis Burnier , Eray Sabancilar , Mikhail Shaposhnikov

In this work we propose a parity-invariant Maxwell-Chern-Simons $U(1) \times U(1)$ model coupled with two charged scalar fields in $2+1$ dimensions, and show that it admits finite-energy topological vortices. We describe the main features…

High Energy Physics - Theory · Physics 2024-01-29 W. B. De Lima , P. De Fabritiis

We investigate the presence of vortex structures in a Maxwell model with a logarithmic generalization. This generalization becomes important because it generates stationary field solutions in models that describe the dynamics of a scalar…

High Energy Physics - Theory · Physics 2020-12-02 F. C. E. Lima , C. A. S. Almeida

We search for vortices in a generalized Abelian Chern-Simons model with a nonstandard kinetic term. We illustrate our results, plotting and comparing several features of the vortex solution of the generalized model with those of the vortex…

High Energy Physics - Theory · Physics 2014-11-21 D. Bazeia , E. da Hora , C. dos Santos , R. Menezes

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

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

This work introduces a procedure to obtain vortex configurations described by first order equations in generalized Maxwell-Chern-Simons models without the inclusion of a neutral field. The results show that the novel methodology is capable…

High Energy Physics - Theory · Physics 2023-03-13 I. Andrade , D. Bazeia , M. A. Liao , M. A. Marques , R. Menezes

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

We present a series of existence theorems for multiple vortex solutions in the Gudnason model of the ${\cal N}=2$ supersymmetric field theory where non-Abelian gauge fields are governed by the pure Chern--Simons dynamics at dual levels and…

Analysis of PDEs · Mathematics 2021-01-28 Xiaosen Han , Chang-Shou Lin , Gabriella Tarantello , Yisong Yang

In (2+1) dimensions, the Maxwell term $-(1/4) F_{\alpha\beta}F^{\alpha\beta}$ can be replaced by the Chern-Simons three-form $(\kappa/4)\epsilon^{\alpha\beta\gamma}A_\alpha F_{\beta\gamma}$, yielding a novel type of `electromagnetism'. This…

High Energy Physics - Theory · Physics 2011-04-15 C. Duval , P. A. Horvathy

We apply the adiabatic approximation to investigate the low energy dynamics of vortices in the parity invariant double self-dual Higgs model with only mutual Chern-Simons interaction. When distances between solitons are large they are…

High Energy Physics - Theory · Physics 2009-10-28 Jacek Dziarmaga

We construct parity and time reversal invariant Maxwell-Chern-Simons gauge theory coupled to fermions with adding the parity partner to the matter and the gauge fields, which can give nontopological vortex solutions depending on the sign of…

High Energy Physics - Theory · Physics 2008-02-03 Junsoo Shin

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

This paper deals with planar vortices in a generalized model that presents a global factor which depends on the scalar field in the Nielsen-Olesen Lagrange density. We show that the system supports a first order framework. Contrary to what…

High Energy Physics - Theory · Physics 2023-06-23 I. Andrade , M. A. Marques , R. Menezes

We have constructed nonrelativistic fermion and scalar field theories coupled to a Maxwell-Chern-Simons gauge field which admit static multi-vortex solutions. This is achieved by introducing a magnetic coupling term in addition to the usual…

High Energy Physics - Theory · Physics 2009-10-31 Bom Soo Kim , Hyuk-jae Lee , Jae Hyung Yee

We study vortices in generalized Maxwell-Higgs models, with the inclusion of a quadratic kinetic term with the covariant derivative of the scalar field in the Lagrangian density. We discuss the stressless condition and show that the…

High Energy Physics - Theory · Physics 2018-12-27 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

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