New developments in the quantization of supersymmetric solitons (kinks, vortices and monopoles)
Abstract
We discuss the one-loop quantum corrections to the mass M and central charge Z of supersymmetric solitons: the kink, the vortex and the monopole. Contrary to previous expectations and published results, in each of these cases there are nonvanishing quantum corrections to the mass. For the N=1 kink and the N=2 monopole a new anomaly in Z rescues BPS saturation (M=Z); for the N=2 vortex, BPS saturation is rescued for two reasons: (i) the quantum fluctuations of the Higgs field acquire a nontrivial phase due to the winding of the classical solution, and (ii) a fermionic zero mode used in the literature is shown not to be normalizable.
Keywords
Cite
@article{arxiv.hep-th/0404223,
title = {New developments in the quantization of supersymmetric solitons (kinks, vortices and monopoles)},
author = {Anton Rebhan and Peter van Nieuwenhuizen and Robert Wimmer},
journal= {arXiv preprint arXiv:hep-th/0404223},
year = {2007}
}
Comments
15 pages, REVTEX4 style, 1 embedded postscript figure. Extended writeup of a talk given by P. van Nieuwenhuizen at the XXIV Brazilian National Meeting on Particles and Fields (Caxambu, Brazil, 30 Sep - 4 Oct 2003); to appear in the Brazilian Journal of Physics