Self-dual effective compact and true compacton configurations in generalized Abelian Higgs models

Abstract

We have studied the existence of self-dual effective compact and true compacton configurations in Abelian Higgs models with generalized dynamics. We have named of an effective compact solution the one whose profile behavior is very similar to the one of a compacton structure but still preserves a tail in its asymptotic decay. In particular we have investigate the electrically neutral configurations of the Maxwell-Higgs and Born-Infeld-Higgs models and the electrically charged ones of the Chern-Simons-Higgs and Maxwell-Chern-Simons-Higgs models. The generalization of the kinetic terms is performed by means of dielectric functions in gauge and Higgs sectors. The implementation of the BPS formalism without the need to use a specific \textit{Ansatz} has leaded us to the explicit determination of the dielectric function associated to the Higgs sector to be proportional to $\lambda |\varphi {|}^{2\lambda -2}$, $\lambda >1$. Consequently, the followed procedure allows us to determine explicitly new families of self-dual potentials for every model. We have also observed that for sufficiently large values of $\lambda$ every model supports effective compact vortices. The true compacton solutions arising for $\lambda =\infty$ are analytical. Therefore, this new self-dual structures enhance the space of BPS solutions of the Abelian Higgs models and they probably will imply in interesting applications in physics and mathematics.

arXiv comment16 pages, LaTeX 2e, 18 figures

References in corpus (41)

• k-Inflation
• Tachyon Matter
• Ghost Condensation and a Consistent Infrared Modification of Gravity
• Born-Infeld particles and Dirichlet p-branes
• A Skyrme-type proposal for baryonic matter
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Bogomol'nyi solitons in a gauged $O(3)$ sigma model
• Global topological k-defects
• Generalized Global Defect Solutions
• Haloes of k-Essence
• Manifest Supersymmetry for BPS Walls in N=2 Nonlinear Sigma Models
• Magnetic domain walls in constrained geometries
• Supersymmetry and Bogomol'nyi equations in the Abelian Higgs Model
• k-defects as compactons
• Gauge k-vortices
• Vortices in (abelian) Chern-Simons gauge theory
• Investigation of restricted baby Skyrme models
• Topological and Nontopological Solitons in a Gauged O(3) Sigma Model with Chern-Simons term
• Anyonic Bogomol'nyi Solitons in a Gauged O(3) Sigma Model
• K fields, compactons, and thick branes
• Compactlike kinks and vortices in generalized models
• Compact gauge K vortices
• Compact self-gravitating solutions of quartic (K) fields in brane cosmology
• BPS Solutions to a Generalized Maxwell-Higgs Model
• Compactons and semi-compactons in the extreme baby Skyrme model
• Compact Boson Stars
• Compact vortex in a generalized Born-Infeld model
• Bogomol'nyi Equations for Vortices in Born-Infeld-Higgs Systems
• Vortex equations in abelian gauged sigma-models
• Generalized BPS magnetic monopoles
• Generalized self-dual Maxwell-Chern-Simons-Higgs model
• Bogomol'nyi Equations of Maxwell-Chern-Simons vortices from a generalized Abelian Higgs Model
• Two Species of Vortices in a massive Gauged Non-linear Sigma Model
• Topological vortices in generalized Born-Infeld-Higgs electrodynamics
• Compact Vortices
• On the Question of Degeneracy of Topological Solitons in a Gauged O(3) Non-Linear Sigma Model with Chern-Simons Term
• Analytical BPS Maxwell-Higgs vortices
• Self-dual soliton solutions in a Chern-Simons-CP(1) model with a nonstandard kinetic term
• Self-Dual Soliton Solution in a Generalized Jackiw-Pi Model
• Magnetic Vortices in a Gauged O(3) Sigma Model with Symmetry Breaking Self-Interaction
• Self-dual configurations in a generalized Abelian Chern-Simons-Higgs model with explicit breaking of the Lorentz covariance

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