27 citations · 66 across the 8 of their papers we have counts for
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Nielsen-Olesen vortices for large Ginzburg-Landau parameter
Jurgen Burzlaff, Francisco Navarro-Lerida
Using analytic and numerical techniques Nielsen-Olesen vortices, which in the context of Ginzburg-Landau theory are known as Abrikosov vortices of type-II superconductors, are stud…
Asymptotic analysis of the Skyrmed monopole
Y. Brihaye, J. Burzlaff, D. H. Tchrakian
We consider a variant of the Georgi Glashow model in the BPS limit, augmented by a higher derivative Skyrme-like term, which is the simplest YMH model that can support monopole bou…
The 1-soliton in the SO(3) gauged Skyrme model with mass term
Y. Brihaye, J. Burzlaff, V. Paturyan +1
The solitons of the SO(3) gauged Skyrme model with no pion-mass potential were studied in Refs. {nl,jmp}. Here, the effects of the inclusion of this potential are studied. In contr…
Expansion in the distance parameter for two vortices close together
J. Burzlaff, E. Kellegher
Static vortices close together are studied for two different models in 2-dimen- sional Euclidean space. In a simple model for one complex field an expansion in the parameters descr…
soliton scattering: The collective coordinate approximation
J. Burzlaff, W. J. Zakrzewski
The model, with and without a generalized Hopf term, is studied using the collective coordinate approximation. In the spirit of this approximation, an ansatz is given which…
Instanton Induced Tunneling Amplitude at Excited States with the LSZ Method
J. -G. Zhou, J. -Q. Liang, J. Burzlaff +1
Quantum tunneling between degenerate ground states through the central barrier of a potential is extended to excited states with the instanton method. This extension is achieved wi…
Zero Modes of Rotationally Symmetric Generalized Vortices and Vortex Scattering
J. Burzlaff, D. H. Tchrakian
Zero modes of rotationally symmetric vortices in a hierarchy of generalized Abelian Higgs models are studied. Under the finite-energy and the smoothness condition, it is shown, tha…
Existence Theorems for Vortex Scattering
K. Arthur, J. Burzlaff
The analysis of vortex-vortex scattering is extended to scattering in all head-on collisions of vortices in the Abelian Higgs model. A Cauchy problem w…