Peristaltic modes of single vortex in the Abelian Higgs model

Abstract

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 {\it 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 corresponds 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 $\kappa$ and topological charge $n$. Around the BPS value or critical coupling ${\kappa }^2$=1/2, there appears a significant correlation between the Higgs and the photon field fluctuations mediated by the static vortex. As a result, for ${\kappa }^2$=1/2, we find the characteristic {\it new} discrete pole of the peristaltic mode corresponding to the quasi-bound-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 $n\in Z$ for the application to various general systems where the vortex-like objects behave as the essential degrees of freedom.

arXiv comment16pages, 12figures, minor changes, published in PRD

References in corpus (16)

• Cosmological Experiments in Condensed Matter Systems
• Solitons in the Higgs phase -- the moduli matrix approach --
• Fine Structure of the QCD String Spectrum
• Detailed Analysis of the Three Quark Potential in SU(3) Lattice QCD
• Three-Quark Potential in SU(3) Lattice QCD
• Color Confinement, Quark Pair Creation and Dynamical Chiral-Symmetry Breaking in the Dual Ginzburg-Landau Theory
• Gluon excitations of the static quark potential and the hybrid quarkonium spectrum
• Defect formation and local gauge invariance
• Baryons in Holographic QCD
• Extrinsic Curvature Dependence of Nielsen-Olesen Strings
• Quantum Theory of Strings in Abelian Higgs Model
• Critical dynamics of gauge systems: Spontaneous vortex formation in 2D superconductors
• Flux Tubes of Two- and Three-Quark System in Full QCD
• Bound States and Instabilities of Vortices
• Detailed analysis of the gluonic excitation in the three-quark system in lattice QCD
• The gluonic excitation of the three-quark system in SU(3) lattice QCD

Cited by in corpus (6)

• Nambu-Goto Dynamics of Field Theory Cosmic String Loops
• Dissecting zero modes and bound states on BPS vortices in Ginzburg-Landau superconductors
• Dissecting normal modes of vibration on vortices in Ginzburg-Landau superconductors
• Parametric Resonances in Axionic Cosmic Strings
• Internal Excitations of Global Vortices
• Stability change of a multi-charged vortex due to coupling with quadrupole mode