Note on generalization of Jackiw-Pi Vortices

We analyze two abelian Higgs systems with nonstandard kinetic terms. First, we consider a model involving the Maxwell term. For a particular choice of the nonstandard kinetics, we are able to obtain generalized Jackiw-Pi vortices. We, also, analyze a second model which is a generalization of the Jackiw-Pi model. In this case we show that the system support the Nielsen-Olesen vortices as solutions.Fil: Sourrouille, Lucas. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional Arturo Jauretche; Argentin

Galilean symmetry in generalized abelian Schr\"odinger-Higgs models with and without gauge field interaction

We consider a generalization of nonrelativistic Schr\"odinger-Higgs Lagrangian by introducing a nonstandard kinetic term. We show that this model is Galilean invariant, we construct the conserved charges associated to the symmetries and realize the algebra of the Galilean group. In addition, we study the model in the presence of a gauge field. We also show that the gauged model is Galilean invariant. Finally, we explore relations between twin models and their solutions.Comment: 13 pages, version to be published in MPL

Note on vortices from Lorentz-violating models

We consider two self-dual Abelian Higgs systems obtained from Lorentz-breaking symmetry models by dimensional reduction. For the first model, we show that the self-dual equations are identical to those of Nielsen-Olesen vortices. Also, we show that our vortices have electric charge. In the second case we show that self-dual Chern-Simons-Higgs vortices without electric charge are possible.Fil: Sourrouille, Lucas. Universidade Federal do Maranhão; Brasil. Universidade Federal do ABC; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentin

Charged Nielsen-Olesen vortices from a Generalized Abelian Chern-Simons-Higgs Theory

We consider a generalization of abelian Chern-Simons-Higgs model by introducing a nonstandard kinetic term. In particular we show that the Bogomolnyi equations of the abelian Higgs theory may be obtained, being its solutions Nielsen-Olesen vortices with electric charge. In addition we study the self-duality equations for a generalized non-relativistic Maxwell-Chern-Simons model.Comment: 11 page

On the energy crisis in noncommutative CP(1) model

We study the CP(1) system in (2+1)-dimensional noncommutative space with and without Chern-Simons term. Using the Seiberg-Witten map we convert the noncommutative CP(1) system to an action written in terms of the commutative fields. We find that this system presents the same infinite size instanton solution as the commutative Chern-Simons-CP(1) model without a potential term. Based on this result we argue that the BPS equations are compatible with the full variational equations of motion, rejecting the hypothesis of an "energy crisis". In addition we examine the noncommutative CP(1) system with a Chern-Simons interaction. In this case we find that when the theory is transformed by the Seiberg-Witten map it also presents the same instanton solution as the commutative Chern-Simons-CP(1) model.Comment: 17 pages, minor correction

Self-dual Maxwell-Chern-Simons solitons from a Lorentz-violating model

Self-dual abelian Higgs system, involving both the Maxwell and Chern-Simons terms are obtained from Carroll-Field-Jackiw theory by dimensional reduction. Bogomol'nyi-type equations are studied from theoretical and numerical point of view. In particular we show that the solutions of these equations are Nielsen-Olesen vortices with electric charge.Comment: 6 pages, 5 figure

Maxwell-Higgs self-dual solitons on an infinite cylinder

We have studied the Maxwell-Higgs model on the surface of an infinite cylinder. In particular we show that this model supports self-dual topological soliton solutions on the infinite tube. Finally, the Bogomol'nyi-type equations are studied from theoretical and numerical point of view.Comment: 5 pages, 4 figures. To be published in Mod. Phys. Lett.

Self-dual configurations in a generalized Abelian Chern-Simons-Higgs model with explicit breaking of the Lorentz covariance

We have studied the existence of self-dual solitonic solutions in a generalization of the Abelian Chern-Simons-Higgs model. Such a generalization introduces two different nonnegative functions, $\omega_1(|\phi|)$ and $\omega(|\phi|)$, which split the kinetic term of the Higgs field - $|D_\mu\phi|^2 \rightarrow\omega_1 (|\phi|)|D_0\phi|^2-\omega(|\phi|) |D_k\phi|^2$ - breaking explicitly the Lorentz covariance. We have shown that a clean implementation of the Bogomolnyi procedure only can be implemented whether $\omega(|\phi|) \propto \beta |\phi|^{2\beta-2}$ with $\beta\geq 1$. The self-dual or Bogomolnyi equations produce an infinity number of soliton solutions by choosing conveniently the generalizing function $\omega_1(|\phi|)$ which must be able to provide a finite magnetic field. Also, we have shown that by properly choosing the generalizing functions it is possible to reproduce the Bogomolnyi equations of the Abelian Maxwell-Higgs and Chern-Simons-Higgs models. Finally, some new self-dual $|\phi|^6$-vortex solutions have been analyzed both from theoretical and numerical point of view.Comment: 7 Latex 2e pages, 5 .eps figure