Uncovering Low-Dimensional Topological Structure in the QCD Vacuum
Abstract
Recently, we have pointed out that sign-coherent 4-dimensional structures can not dominate topological charge fluctuations in QCD vacuum at all scales. Here we show that an enhanced lower-dimensional coherence is possible. In pure SU(3) lattice gauge theory we find that in a typical equilibrium configuration about 80% of space-time points are covered by two oppositely-charged connected structures built of elementary 3-dimensional coherent hypercubes. The hypercubes within the structure are connected through 2-dimensional common faces. We suggest that this coherence is a manifestation of a low-dimensional order present in the QCD vacuum. The use of a topological charge density associated with Ginsparg-Wilson fermions ("chiral smoothing") is crucial for observing this structure.
Keywords
Cite
@article{arxiv.hep-lat/0212013,
title = {Uncovering Low-Dimensional Topological Structure in the QCD Vacuum},
author = {I. Horvath and S. J. Dong and T. Draper and K. F. Liu and N. Mathur and F. X. Lee and H. B. Thacker and J. B. Zhang},
journal= {arXiv preprint arXiv:hep-lat/0212013},
year = {2017}
}
Comments
3 pages, 1 figure; Proceedings of the "Confinement V" Conference, Gargnano, Italy, Sep 10-14, 2002