Journal of High Energy Physics

, 2014:101 | Cite as

Vortex zero modes, large flux limit and Ambjørn-Nielsen-Olesen magnetic instabilities

  • Stefano Bolognesi
  • Chandrasekhar Chatterjee
  • Sven Bjarke Gudnason
  • Kenichi Konishi
Open Access


In the large flux limit vortices become flux tubes with almost constant magnetic field in the interior region. This occurs in the case of non-Abelian vortices as well, and the study of such configurations allows us to reveal a close relationship between vortex zero modes and the gyromagnetic instabilities of vector bosons in a strong background magnetic field discovered by Nielsen, Olesen and Ambjørn. The BPS vortices are exactly at the onset of this instability, and the dimension of their moduli space is precisely reproduced in this way. We present a unifying picture in which, through the study of the linear spectrum of scalars, fermions and W bosons in the magnetic field background, the expected number of translational, orientational, fermionic as well as semilocal zero modes is correctly reproduced in all cases.


Spontaneous Symmetry Breaking Solitons Monopoles and Instantons Nonperturbative Effects Electromagnetic Processes and Properties 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Stefano Bolognesi
    • 1
    • 2
  • Chandrasekhar Chatterjee
    • 2
    • 1
  • Sven Bjarke Gudnason
    • 3
  • Kenichi Konishi
    • 1
    • 2
  1. 1.Department of PhysicsE. Fermi, University of PisaPisaItaly
  2. 2.INFN, Sezione di PisaPisaItaly
  3. 3.Nordita, KTH Royal Institute of Technology and Stockholm UniversityStockholmSweden

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