Vortex zero modes, large flux limit and AmbjørnNielsenOlesen magnetic instabilities
Abstract
In the large flux limit vortices become flux tubes with almost constant magnetic field in the interior region. This occurs in the case of nonAbelian 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 October 2014
 DOI:
 10.1007/JHEP10(2014)101
 arXiv:
 arXiv:1408.1572
 Bibcode:
 2014JHEP...10..101B
 Keywords:

 Spontaneous Symmetry Breaking;
 Solitons Monopoles and Instantons;
 Nonperturbative Effects;
 Electromagnetic Processes and Properties;
 High Energy Physics  Theory;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 22 pages, 10 figures