Extrinsic curvature dependence of Nielsen-Olesen strings

1994/04/30 by Peter Orland · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.1016/0550-3213(94)90200-3

published as Nucl.Phys. B428 (1994) 221-232 · 12 pages, latex, CCNY-HEP-94-3 Some points in the text are clarified and new references are included

arxiv created 1994/09/22 · openalex publication_date 1994/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Quantum geometry of bosonic strings
• A Collective Description of Electron Interactions: III. Coulomb Interactions in a Degenerate Electron Gas
• Topology of cosmic domains and strings

Cited by

• Cosmological evolution of cosmic strings with time-dependent tension
• Vortices on the higgs branch of the Seiberg–Witten theory
• Abelian Higgs model effective potential in the presence of vortices
• NON-ABELIAN VORTEX-STRING DYNAMICS FROM NONLINEAR REALIZATION