Extrinsic Curvature Dependence of Nielsen-Olesen Strings

Abstract

It is shown how to treat the degrees of freedom of Nielsen-Olesen vortices in the $3+1$-dimensional $U(1)$ higgs model by a collective coordinate method. In the london limit, where the higgs mass becomes infinite, the gauge and goldstone degrees of freedom are integrated out, resulting in the vortex world-sheet action. Introducing an ultraviolet cut-off mimics the effect of finite higgs mass. This action is non-polynomial in derivatives and depends on the extrinsic curvature of the surface. Flat surfaces are stable if the coherence length is less than the penetration depth. It is argued that in the quantum abelian higgs model, vortex world-sheets are dominated by branched polymers.

12 pages, latex, CCNY-HEP-94-3 Some points in the text are clarified and new references are included

References in corpus (3)

• The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals
• String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice
• Topological Landau-Ginzburg Theory for Vortices in Superfluid ${}^4$He

Cited by in corpus (61)

• On singularities of spherically symmetric backgrounds in string theory
• The Effective Theory of Long Strings
• Center Projection Vortices in Continuum Yang-Mills Theory
• Quantum Theory of Strings in Abelian Higgs Model
• Vacuum type of SU(2) gluodynamics in maximally Abelian and Landau gauges
• Monopole-antimonopole interaction in Abelian Higgs model
• Bound States and Instabilities of Vortices
• Confining String with Topological Term
• Vortices on the Higgs Branch of the Seiberg-Witten Theory
• Width of the flux tube in compact U(1) gauge theory in three dimensions
• Effective action and motion of a cosmic string
• String Nature of Confinement in (Non-)Abelian Gauge Theories
• A different kind of string
• Zero Point Energy of Renormalized Wilson Loops
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• String representation of SU(3) gluodynamics in the abelian projection
• Topological Interactions of Non-Abelian Vortices with Quasi-Particles in High Density QCD
• Flux-Tube Ring and Glueball Properties in the Dual Ginzburg-Landau Theory
• Effective String Theory of Vortices and Regge Trajectories
• Lattice Gerbe Theory
• Condensing Nielsen-Olesen strings and the vortex-boson duality in 3+1 and higher dimensions
• Cosmological evolution of cosmic strings with time-dependent tension
• A new topological aspect of the arbitrary dimensional topological defects
• Strings with Negative Stiffness and Hyperfine Structure
• String Holonomy and Extrinsic Geometry in Four-dimensional Topological Gauge Theory
• Effective string action for the U(1)xU(1) dual Ginzburg-Landau theory beyond the London limit
• Quantization of massive Abelian antisymmetric tensor field and linear potential
• Surfaces with Long-Range Correlations from Non-Critical Strings
• Gluodynamics String as a Low-Energy Limit of the Universal Confining String Theory
• String Representation for the 't Hooft Loop Average in the Abelian Higgs Model
• Geometric Aspects of Confining Strings
• Monopole Condensation and Antisymmetric Tensor Fields: Compact QED and the Wilsonian RG Flow in Yang-Mills Theories
• Abelian Higgs Model Effective Potential in the Presence of Vortices
• Fermionic String from Abelian Higgs Model with monopoles and $\Theta$-term
• Gauge string in the fermion asymmetric matter
• Monopoles and flux strings from SU(2) adjoint scalars
• Peristaltic modes of single vortex in the Abelian Higgs model
• The Abelian Higgs Model as an Ensemble of Vortex Loops
• Determination of monopole condensate from monopole action in quenched SU(2) QCD
• Curvature Expansion for the Gluodynamics String including Perturbative Gluonic Contributions
• Confinement Near Argyres-Douglas Point in N=2 QCD and Low Energy Version of AdS/CFT Correspondence
• Towards the String representation of the dual Abelian Higgs model beyond the London limit
• Non-Abelian Vortex-String Dynamics from Nonlinear Realization
• k-string tensions in the 4-d SU(N)-inspired dual Abelian-Higgs-type theory
• Effective Theories of Confinement
• A multipole-expanded effective field theory for vortex ring-sound interactions
• SU(N) fundamental and adjoint confining strings
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Center vortices as rigid strings
• Holographic Dissipative Properties of Non-relativistic Black Branes with Hyperscaling Violation
• Flux dualization in broken SU(2)
• On the Topological Term in the String Representation of the Wilson Loop in the Dilute Instanton Gas
• Gauge vortex dynamics at finite mass of bosonic fields
• Monopole-vortex complex in a theta vacuum
• Schwinger-Dyson equations and disorder
• Solvable Confining Gauge Theories at Large N
• Topological Phases for Extended Objects: Semiclassical Phase-Space Approach with Tensorial Coordinates
• Binary String Dynamics
• Confinement in the Abelian-Higgs-type theories: string picture and field correlators
• Spin-Charge Separation and the Pauli Electron
• Short Strings and Gluon Propagator in the Infrared Region