Topology of Center Vortices
High Energy Physics - Theory
2009-11-07 v1
Abstract
The topology of center vortices is studied. For this purpose it is sufficient to consider mathematically idealised vortices, defined in a gauge invariant way as closed (infinitely thin) flux surfaces (in D=4 dimensions) which contribute the n'th power of a non-trivial center element to Wilson loops when they are n-foldly linked to the latter. In ordinary 3-space generic center vortices represent closed magnetic flux loops which evolve in time. I show that the topological charge of such a time-dependent vortex loop can be entirely expressed by the temporal changes of its writhing number.
Cite
@article{arxiv.hep-th/0112215,
title = {Topology of Center Vortices},
author = {H. Reinhardt},
journal= {arXiv preprint arXiv:hep-th/0112215},
year = {2009}
}
Comments
48 pages, 11 figures