Bound States and Instabilities of Vortices

Abstract

We examine the spectrum of small perturbations around global and local (gauge) abelian vortices, using simple numerical matrix techniques. The results are of interest for both cosmic strings and for their condensed matter analogues, superfluid and superconducting vortices. We tabulate the instabilities of higher winding number vortices, and find several bound states. These localised oscillations of the order parameter can be thought of as particle states trapped in the core of the string.

Latex, 20 pages, 6 uuencoded figures

References in corpus (3)

• Cosmic strings
• Extrinsic Curvature Dependence of Nielsen-Olesen Strings
• Curvature Corrections to Dynamics of Domain Walls

Cited by in corpus (29)

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• Loop decay in Abelian-Higgs string networks
• Solvable self-dual impurity models
• Nambu-Goto Dynamics of Field Theory Cosmic String Loops
• The dynamics of Domain Wall Strings
• Stability Analysis of The Twisted Superconducting Semilocal Strings
• A note on BPS vortex bound states
• Dissecting zero modes and bound states on BPS vortices in Ginzburg-Landau superconductors
• Unconventional cosmology on the (thick) brane
• Collective Coordinate Models for 2-Vortex Shape Mode Dynamics
• Spectral Flow of Vortex Shape Modes over the BPS 2-Vortex Moduli Space
• Radiation from Excited Vortex in the Abelian Higgs Model
• Vortices and magnetic bags in Abelian models with extended scalar sectors and some of their applications
• Stabilisation of semilocal strings by dark scalar condensates
• Half-Integer Winding Number Solutions to the Landau-Ginzburg-Higgs Equations and Instability of the Abrikosov-Nielsen-Olesen Vortex
• Vortices with scalar condensates in two-component Ginzburg-Landau systems
• Spectral wall in collisions of excited Abelian Higgs vortices
• Coleman-Weinberg Abrikosov-Nielsen-Olesen strings
• Peristaltic modes of single vortex in the Abelian Higgs model
• Instabilities of Twisted Strings
• Quantum kink and its excitations
• Parametric Resonances in Axionic Cosmic Strings
• Dissecting normal modes of vibration on vortices in Ginzburg-Landau superconductors
• Confined Vortices in Topologically Massive U(1)$\times$U(1) Theory
• Stability Analysis of Superconducting Electroweak Vortices
• Backreaction of excitations on a vortex
• Electroweak strings with dark scalar condensates and their (in)stability
• The non-topological $Z^{\prime }$ string in the 331 model and its classical stability
• Internal Excitations of Global Vortices