2006/07/20 by Marco Cardoso, Pedro Bicudo, P. D. Sacramento +1 · 8 citations
Engineering · Physics and Astronomy · #Bound state #Color confinement #Condensed matter physics #Flux tube #Ginzburg–Landau theory #Magnetic field #Magnetic flux #Magnetic monopole #Mechanics #Meissner effect #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #String (physics) #Superconducting Materials and Applications #Superconductivity #Vortex #hep-ph
paper · pdf · doi:10.1016/j.aop.2007.02.007
published in Annals of Physics 323(2), 337-355 (Elsevier BV) · 11 pages, 10 figures
arxiv created 2006/07/20 · openalex publication_date 2007/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We apply the Bogoliubov-de Gennes equations to the confinement of a monopole-antimonopole pair in a superconductor. This is related to the problem of a quark-antiquark pair bound by a confining string, consisting of a colour-electric flux tube, dual to the magnetic vortex of type-II superconductors. We study the confinement of the field lines due to the superconducting state and calculate the effective potential between the two monopoles. At short distances the potential is Coulombic and at large distances the potential is linear, as previously determined solving the Ginzburg-Landau equations. The magnetic field lines and the string tension are also studied as a function of the temperature T. Because we take into account the explicit fermionic degrees of freedom, this work may open new perspectives to the breaking of chiral symmetry or to colour superconductivity.