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The (2 + 1)-dimensional gauge model describing two complex scalar fields that interact through a common Abelian gauge field is considered. It is shown that the model has a soliton solution that describes a system consisting of a vortex and…

High Energy Physics - Theory · Physics 2019-01-07 A. Yu. Loginov

In the present paper, we continue to study the two-dimensional soliton system that is composed of vortex and Q-ball components interacting with each other through an Abelian gauge field. This vortex-Q-ball system is electrically neutral as…

High Energy Physics - Theory · Physics 2020-12-30 A. Yu. Loginov , V. V. Gauzshtein

The (1+1)-dimensional gauge model of two complex self-interacting scalar fields that interact with each other through an Abelian gauge field and a quartic scalar interaction is considered. It is shown that the model has nontopological…

High Energy Physics - Theory · Physics 2019-03-27 A. Yu. Loginov , V. V. Gauzshtein

We examine the energetics of $Q$-balls in Maxwell-Chern-Simons theory in two space dimensions. Whereas gauged $Q$-balls are unallowed in this dimension in the absence of a Chern-Simons term due to a divergent electromagnetic energy, the…

High Energy Physics - Theory · Physics 2013-02-07 M. Deshaies-Jacques , R. MacKenzie

We examine the energetics of Q-balls in Maxwell-Chern-Simons theory in two space dimensions. Whereas gauged Q-balls are unallowed in this dimension in the absence of a Chern-Simons term due to a divergent electromagnetic energy, the…

High Energy Physics - Theory · Physics 2008-11-26 M. Deshaies-Jacques , R. MacKenzie

In the present paper, we consider a $\left(1 + 1\right)$-dimensional gauge model consisting of two complex scalar fields interacting with each other through an Abelian gauge field. When the model's gauge coupling constants are set equal to…

High Energy Physics - Theory · Physics 2020-09-29 A. Yu. Loginov , V. V. Gauzshtein

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 study a $U(1) \times U(1)$ gauge theory discussing its vortex solutions and supersymmetric extension. In our set-upon the dynamics of one of two Abelian gauge fields is governed by a Maxwell term, the other by a Chern-Simons term. The…

High Energy Physics - Theory · Physics 2016-12-21 Edwin Ireson , Fidel A. Schaposnik , Gianni Tallarita

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

A non-Abelian gauge model with a complex isovector scalar field and a sixth-order self-interaction potential is considered. It is shown that it has a nontopological soliton solution. The features of this soliton include a monopole-like core…

High Energy Physics - Theory · Physics 2025-06-26 A. Yu. Loginov

We compare the vortex-like solutions of two different theories in (2+1) dimensions. In the first a nonrelativistic field self-interacts through a Chern-Simons gauge connection. It is $P$ and $T$ violating. The second is the standard Maxwell…

High Energy Physics - Theory · Physics 2009-10-22 Pietro Donatis , Roberto Iengo

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 consider the $U(1)$ gauged two-component Friedberg-Lee-Sirlin model in 3+1 dimensional Minkowski spacetime, which supports non-topological soliton configurations. Here we found families of axially-symmetric spinning gauged Q-balls, which…

High Energy Physics - Theory · Physics 2019-07-31 V. Loiko , Ya Shnir

We study non-topological solitons, so called Q-balls, which carry a non-vanishing Noether charge and arise as lump solutions of self-interacting complex scalar field models. Explicit examples of new axially symmetric non-spinning Q-ball…

High Energy Physics - Theory · Physics 2014-11-18 Yves Brihaye , Betti Hartmann

We study a non-Abelian Chern-Simons gauge theory in $ 2+ 1$ dimensions with the inclusion of an anomalous magnetic interaction. For a particular relation between the Chern-Simons (CS) mass and the anomalous magnetic coupling the equations…

High Energy Physics - Theory · Physics 2009-10-28 Armando Antillón , Joaquín Escalona , Gabriel Germán , Manuel Torres

Non-topological gauged soliton solutions called Q-balls arise in many scalar field theories that are invariant under a U(1) gauge symmetry. The related, but qualitatively distinct, Q-shell solitons have only been shown to exist for special…

High Energy Physics - Theory · Physics 2021-09-15 Julian Heeck , Arvind Rajaraman , Christopher B. Verhaaren

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

The properties of the multisoliton solutions of the (2+1)-dimensional Maxwell-Chern-Simons-Skyrme model are investigated numerically. Coupling to the Chern-Simons term allows for existence of the electrically charge solitons which may also…

High Energy Physics - Theory · Physics 2017-02-15 A. Samoilenka , Ya. Shnir

We investigate probe limit vortex solutions of a charged scalar field in Einstein-Maxwell theory in 3+1 dimensions, for an asymptotically AdS Schwarzschild black hole metric with the addition of an axionic coupling to the Maxwell field. We…

High Energy Physics - Theory · Physics 2011-01-05 Gianni Tallarita , Steven Thomas

A non-relativistic version of the 2+1 dimensional gauged Chern-Simons O(3) sigma model, augmented by a Maxwell term, is presented and shown to support topologically stable static self-dual vortices. Exactly like their counterparts of the…

High Energy Physics - Theory · Physics 2014-11-18 D. H. Tchrakian , T. N. Tomaras
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