Topologically non-trivial field configurations - interplay of vortices and Dirac eigenmodes
Abstract
Gluon field configurations with non-trivial topology like instantons, magnetic monopoles and center vortices play a crucial role in QCD and, in particular, for the spontaneous breaking of chiral symmetry. Moreover, center vortices are strongly correlated with confinement. We present evidence, that there is a deep connection between the topology of gauge fields and center vortices. We use the chirally improved lattice Dirac operator to compute eigenvectors and eigenvalues of various lattice gauge field configurations. Removing vortices from thermalized configurations also removes the topological content of the gauge field. As a consistency check, we apply random changes to the raw configurations.
Keywords
Cite
@article{arxiv.hep-lat/0509052,
title = {Topologically non-trivial field configurations - interplay of vortices and Dirac eigenmodes},
author = {Stefan Solbrig and Jochen Gattnar and Christof Gattringer and Kurt Langfeld and Hugo Reinhardt and Andreas Schäfer and Torsten Tok},
journal= {arXiv preprint arXiv:hep-lat/0509052},
year = {2007}
}
Comments
6 pages, 4 figures, to be published in the proceedings of the lattice 2005 conference