Constituent monopoles through the eyes of fermion zero-modes
High Energy Physics - Theory
2010-04-05 v1 High Energy Physics - Lattice
Abstract
We use the fermion zero-modes in the background of multi-caloron solutions with non-trivial holonomy as a probe for constituent monopoles. We find in general indication for an extended structure. However, for well separated constituents these become point-like. We analyse this in detail for the SU(2) charge 2 case, where one is able to solve the relevant Nahm equation exactly, beyond the piecewize constant solutions studied previously. Remarkably the zero-mode density can be expressed in the high temperature limit as a function of the conserved quantities that classify the solutions of the Nahm equation.
Keywords
Cite
@article{arxiv.hep-th/0305063,
title = {Constituent monopoles through the eyes of fermion zero-modes},
author = {Falk Bruckmann and Daniel Nogradi and Pierre van Baal},
journal= {arXiv preprint arXiv:hep-th/0305063},
year = {2010}
}
Comments
35 pages, 9 figures (in 26 parts)