First Order Formalism for Generalized Vortices

Abstract

This work develops a procedure to find classes of Lagrangian densities that describe generalizations of the Abelian Maxwell-Higgs, the Chern-Simons-Higgs and the Maxwell-Chern-Simons-Higgs models. The investigation focuses on the construction of models that support vortices that obey the stressless condition and lead to first order differential equations which are compatible with the equations of motion. The results induce the appearance of constraints that restrict the choice of the Lagrangian densities, but help us to introduce an auxiliary function that allows to calculate the energy without knowing the explicit form of the solutions.

36 pages, 10 figures; new version, to appear in NPB

References in corpus (21)

• Global topological k-defects
• Generalized Global Defect Solutions
• Braneworld Models of Scalar Fields with Generalized Dynamics
• Gauge k-vortices
• Doppelganger defects
• K fields, compactons, and thick branes
• Compactlike kinks and vortices in generalized models
• From Kinks to Compactons
• Compact gauge K vortices
• Bogomol'nyi Equations for Vortices in Born-Infeld-Higgs Systems
• A Method for BPS Equations of Vortices
• Generalized self-dual Maxwell-Chern-Simons-Higgs model
• Localized D-dimensional global k-defects
• Vortex solutions of an Abelian Higgs model with visible and hidden sectors
• N=2 SUSY Abelian Higgs model with hidden sector and BPS equations
• Compact Vortices
• Twinlike Models for Kinks, Vortices and Monopoles
• Compact Chern-Simons vortices
• Vortices and magnetic bags in Abelian models with extended scalar sectors and some of their applications
• Non-Abelian Vortices in Holographic Superconductors
• The volume of a vortex and the Bradlow bound

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• The generalized $sl(2,R)$ and $su(1,1)$ in non-minimal constant-roll inflation
• Long range vortex configurations in generalized models with the Maxwell or Chern-Simons dynamics
• Quasi-Compact Q-Balls
• Vortices in Maxwell-Chern-Simons-Higgs models with nonminimal coupling
• Quasi-compact vortices
• Abelian Chern-Simons vortices in the presence of magnetic impurities
• Vortices in a generalized Maxwell-Higgs model with visible and hidden sectors
• Vortices in vacuumless systems
• Kink solutions in nonlocal scalar field theory models
• Vortices in Maxwell-Higgs models with a global factor
• Bogomol'nyi equations for Dirac-Born-Infeld cosmic string
• First order framework for gauge k-vortices
• First order framework for vortices in generalized Maxwell-Chern-Simons models without a neutral field