Uncovering Low-Dimensional Topological Structure in the QCD Vacuum

Details Uncovering Low-Dimensional Topological Structure in the QCD Vacuum Uncovering Low-Dimensional Topological Structure in the QCD Vacuum

2002-12-09

arxiv.org/abs/hep-lat/0212013v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 1 figure; Proceedings of the "Confinement V" Conference, Gargnano, Italy, Sep 10-14, 2002

Scientific paper

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.

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