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The interaction of a magnetic flux vortex with weak external fields is considered in the framework of the Abelian Higgs model. The approach is based on the calculation of the zero-mode excitation probability in the external field. The…

High Energy Physics - Theory · Physics 2009-11-10 Yasha Shnir

In this paper a class of multi-Chern-Simons field theories which is relevant to the statistical mechanics of polymer systems is investigated. Motivated by the problems which one encounters in the treatment of these theories, a general…

High Energy Physics - Theory · Physics 2008-11-26 Franco Ferrari

We introduce and investigate new models of the Chern-Simons type in the three-dimensional spacetime, focusing on the existence of compact vortices. The models are controlled by potentials driven by a single real parameter that can be used…

High Energy Physics - Theory · Physics 2017-06-29 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

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

We study vortex-like configuration in Maxwell-Chern-Simons Electrodynamics. Attention is paid to the similarity it shares with the Nielsen-Olesen solutions at large distances. A magnetic symmetry between a point-like and an azimuthal-like…

High Energy Physics - Theory · Physics 2010-02-04 L. P. Colatto , J. A. Helayel-Neto , M. Hott , Winder A. Moura-Melo

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

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

Considering a non-canonical multi-field theory, we propose a mechanism of geometric expansion for Abrikosov-Nielsen-Olesen (ANO) vortices. One builds the general setup adopting a non-canonical O(3)-sigma model, non-minimally coupled through…

High Energy Physics - Theory · Physics 2025-10-07 F. C. E. Lima

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 existence of BPS structures in a Maxwell-Higgs electrodynamics immersed within a chiral medium, whose electromagnetic properties are described by both the Chern-Simons term and a neutral scalar field. The implementation…

High Energy Physics - Theory · Physics 2024-02-29 J. Andrade , Rodolfo Casana , E. da Hora

We study Maxwell-Chern-Simons theory in 2 noncommutative spatial dimensions and 1 temporal dimension. We consider a finite matrix model obtained by adding a linear boundary field which takes into account boundary fluctuations. The pure…

High Energy Physics - Theory · Physics 2009-11-13 Jules Lambert , M. B. Paranjape

The Symplectic Projector Method is applied to discuss quantisation aspects of an extended Abelian model with a pair of gauge potentials coupled by means of a mixed Chern-Simons term. We focuss on a field content that spans an N=2-D=3…

High Energy Physics - Theory · Physics 2009-10-31 L. R. U. Manssur , A. L. M. A. Nogueira , M. A. Santos

We argue that the electromagnetic $\theta$-term is a physical parameter of the Standard Model coupled to gravity. Specifically, in the context of 4-dimensional Einstein-Maxwell theory we show that there exist Euclidean field configurations…

High Energy Physics - Theory · Physics 2025-12-17 Isabel Garcia Garcia , Elliot Maderazo

A tensor product generalisation of $B\wedge F$ theories is proposed to give a Bogomol'nyi structure. Non-singular, stable, finite-energy particle-like solutions to the Bogomol'nyi equations are studied. Unlike Yang-Mills(-Higgs) theory, the…

High Energy Physics - Theory · Physics 2007-05-23 M. Temple-Raston

We derive Bogomolny-type equations for the Abelian Higgs model defined on the noncommutative torus and discuss its vortex like solutions. To this end, we carefully analyze how periodic boundary conditions have to be handled in…

High Energy Physics - Theory · Physics 2009-11-11 P. Forgacs , G. S. Lozano , E. F. Moreno , F. A. Schaposnik

We construct the tensor hierarchy of generic, bosonic, 8-dimensional field theories. We first study the form of the most general 8-dimensional bosonic theory with Abelian gauge symmetries only and no massive deformations. This study…

High Energy Physics - Theory · Physics 2019-03-12 Oscar Lasso Andino , Tomas Ortin

We study existence and various behaviors of topological multivortices solutions of the relativistic self-dual Maxwell-Chern-Simons-Higgs system. We first prove existence of general topological solutions by applying variational methods to…

Superconductivity · Physics 2007-05-23 Dongho Chae , Namkwon Kim

Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated as low energy limit of higher-dimensional or unified…

General Physics · Physics 2025-12-09 F. Minotti , G. Modanese

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

This paper invokes a new mechanism for reducing a coupled system of fields (including Einstein's equations without a cosmological constant) to equations that possess solutions exhibiting characteristics of immediate relevance to current…

General Relativity and Quantum Cosmology · Physics 2019-11-05 Robin W. Tucker , Timothy J. Walton , Manuel Arrayás , José L. Trueba
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