Peristaltic modes of a single vortex in the Abelian Higgs model

@article{Kojo2007PeristalticMO,
  title={Peristaltic modes of a single vortex in the Abelian Higgs model},
  author={Toru Kojo and Hideo Suganuma and Kyosuke Tsumura},
  journal={Physical Review D},
  year={2007},
  volume={75},
  pages={105015}
}
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… 
Stability change of a multi-charged vortex due to coupling with quadrupole mode
We have studied collective modes in the presence of a multi-charged vortex using the variational method which couples the vortex-core dynamics with collective excitations. We found four collective
Internal excitations of global vortices
We investigate the spectrum of linearized excitations of global vortices in 2+1 dimensions. After identifying the existence of localized excitation modes, we compute the decay time scale of the first
Dissecting zero modes and bound states on BPS vortices in Ginzburg-Landau superconductors
A bstractIn this paper the zero modes of fluctuation of cylindrically symmetric self-dual vortices are analyzed and described in full detail. These BPS topological defects arise at the critical point

References

SHOWING 1-10 OF 48 REFERENCES
Study of the interaction and scattering of vortices in the Abelian Higgs (or Ginzburg-Landau) model.
TLDR
Line vortices arising in the Ginzburg-Landau or Abelian Higgs model are studied numerically and the head-on 90{degree} scattering is demonstrated to be independent of initial conditions provided that the vortex zeros first completely overlap.
TOPICAL REVIEW: Solitons in the Higgs phase: the moduli matrix approach
We review our recent work on solitons in the Higgs phase. We use U(NC) gauge theory with NF Higgs scalar fields in the fundamental representation, which can be extended to possess eight supercharges.
Classical vortex solution of the Abelian Higgs model
An exact vortex solution for the Abelian Higgs model is found when a particular relation between the coupling constants is satisfied. For this case (in which the masses of the scalar and vector
Interaction energy of superconducting vortices
By means of a constrained variational calculation we determine the interaction energy of two-vortex configurations in the Ginzburg-Landau theory or, equivalently, in the Abelian Higgs model. The
Critical dynamics of gauge systems: spontaneous vortex formation in 2D superconductors.
TLDR
The formation of vortices during the nonequilibrium relaxation of a high-temperature initial state of an Abelian-Higgs system is examined and explanations for both the observed vortex densities and vortex configurations are offered.
Broken Symmetries and the Masses of Gauge Bosons
In a recent note' it was shown that the Goldstone theorem, ' that Lorentz-covaria. nt field theories in which spontaneous breakdown of symmetry under an internal Lie group occurs contain zero-mass
Cosmological experiments in superfluid helium?
Symmetry breaking phase transitions occurring in the early Universe are expected to leave behind long-lived topologically stable structures such as monopoles, strings or domain walls1–6. Here I
Quantum theory of strings in an Abelian Higgs model.
TLDR
The theory of quantum Abrikosov-Nielsen-Olesen strings is constructed and it is shown that in four space-time dimensions in the limit of infinitely thin strings, the conformal anomaly is absent, and the quantum theory exists.
...
...