Vortices in a nonminimal Maxwell Chern-Simons O(3) sigma model (original) (raw)

Nonminimal Maxwell-Chern-Simons-O(3)-σ vortices: Asymmetric potential case

Physical Review D, 2006

In this work we study a nonlinear gauged O(3)-sigma model with both minimal and nonminimal coupling in the covariant derivative. Using an asymmetric scalar potential, the model is found to exhibit both topological and non-topological soliton solutions in the Bogomol'nyi limit.

Topological and nontopological solitons in a gauged O(3) sigma model with Chern-Simons term

Physics Letters B, 1996

The O(3) nonlinear sigma model with its U (1) subgroup gauged, where the gauge field dynamics is solely governed by a Chern-Simons term, admits both topological as well as nontopological self-dual soliton solutions for a specific choice of the potential. It turns out that the topological solitons are infinitely degenerate in any given sector.

Vortices in (Abelian) Chern–Simons gauge theory

Physics Reports, 2009

The vortex solutions of various classical planar field theories with (Abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term. Adding a suitable sixth-order potential and turning off the Maxwell term provides us with pure Chern-Simons theory with both topological and non-topological self-dual vortices, as found by Hong-Kim-Pac, and by Jackiw-Lee-Weinberg. The non-relativistic limit of the latter leads to non-topological Jackiw-Pi vortices with a pure fourth-order potential. Explicit solutions are found by solving the Liouville equation.

Doubly periodic self-dual vortices in a relativistic non-Abelian Chern–Simons model

Calculus of Variations and Partial Differential Equations, 2014

In this paper we establish a multiplicity result concerning the existence of doubly periodic solutions for a 2 × 2 nonlinear elliptic system arising in the study of self-dual non-Abelian Chern-Simons vortices. We show that the given system admits at least two solutions when the Chern-Simons coupling parameter κ > 0 is sufficiently small; while no solutions exist for κ > 0 sufficiently large. As in [36], we use a variational formulation of the problem. Thus, we obtain a first solution via a (local) minimization method and show that it is asymptotically gauge-equivalent to the (broken) principal embedding vacuum of the system, as κ → 0. Then we obtain the second solution by a min-max procedure of "mountain pass" type.

Vortices in generalized Abelian Chern-Simons-Higgs model

arXiv: High Energy Physics - Theory, 2015

We study a generalization of abelian Chern-Simons-Higgs model by introducing nonstandard kinetic terms. We will obtain a generic form of Bogomolnyi equations by minimizing the energy functional of the model. This generic form of Bogomolnyi equations produce an infinity number of soliton solutions. As a particular limit of these generic Bogomolnyi equations, we obtain the Bogomolnyi equations of the abelian Maxwell-Higgs model and the abelian Chern-Simons Higgs model. Finally, novel soliton solutions emerge from these generic Bogomolnyi equations. We analyze these solutions from theoretical and numerical point of view.

Existence of doubly periodic vortices in a generalized Chern–Simons model

Nonlinear Analysis: Real World Applications, 2014

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 solutions for the generalized self-dual Chern-Simons equation if and only if the coupling parameter is less than or equal to the value. The energy, magnetic flux, and electric charge associated to the field configurations are all specifically quantized. By the solutions obtained for this generalized self-dual Chern-Simons equation we can also construct doubly periodic vortex solutions to a generalized self-dual Abelian Higgs equation.