2007/02/28 by Toru Kojo, Hideo Suganuma, Kyosuke Tsumura
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Higgs boson #Mechanics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Vortex #hep-ph
paper · pdf · doi:10.1103/physrevd.75.105015
published as Phys.Rev.D75:105015,2007 · 16pages, 12figures, minor changes, published in PRD
openalex publication_date 2007/05/18 · arxiv created 2007/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using the Abelian Higgs model, we study the radial excitations of single vortex and their propagation modes along the vortex line. We call such beyond-stringy modes peristaltic modes of single vortex. With the profile of the static vortex, we derive the vortex-induced potential, i.e., single-particle potential for the Higgs and the photon field fluctuations around the static vortex, and investigate the coherently propagating fluctuations which correspond to the vibration of the vortex. We derive, analyze, and numerically solve the field equations of the Higgs and the photon field fluctuations around the static vortex with various Ginzburg-Landau parameter \ensuremathκ and topological charge n. Around the Bogomol'nyi-Prasad-Sommerfield value or critical coupling \ensuremathκ2=1/2, there appears a significant correlation between the Higgs and the photon field fluctuations mediated by the static vortex. As a result, for \ensuremathκ2=1/2, we find the characteristic new-type discrete pole of the peristaltic mode corresponding to the quasibound state of coherently fluctuating fields and the static vortex. We investigate its excitation energy, correlation energy of coherent fluctuations, spatial distributions, and the resulting magnetic flux behavior in detail. Our investigation covers not only usual type-II vortices with n=1 but also type-I and type-II vortices with n\ensuremath∈Z for the application to various general systems where the vortexlike objects behave as the essential degrees of freedom.