Low-Dimensional Long-Range Topological Charge Structure in the QCD Vacuum

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dc.creatorHorvath, I.
dc.creatorDong, S. J.
dc.creatorDraper, T.
dc.creatorLee, F. X.
dc.creatorLiu, K. F.
dc.creatorMathur, N.
dc.creatorThacker, H. B.
dc.creatorZhang, J. B.
dc.date2003-02-18
dc.date2004-01-10
dc.date.accessioned2026-07-07T11:30:41Z
dc.date.available2026-07-07T11:30:41Z
dc.descriptionWhile sign-coherent 4-dimensional structures cannot dominate topological charge fluctuations in the QCD vacuum at all scales due to reflection positivity, it is possible that enhanced coherence exists over extended space-time regions of lower dimension. Using the overlap Dirac operator to calculate topological charge density, we present evidence for such structure in pure-glue SU(3) lattice gauge theory. It is found that a typical equilibrium configuration is dominated by two oppositely-charged sign-coherent connected structures (``sheets'') covering about 80% of space-time. Each sheet is built from elementary 3-d cubes connected through 2-d faces, and approximates a low-dimensional curved manifold (or possibly a fractal structure) embedded in the 4-d space. At the heart of the sheet is a ``skeleton'' formed by about 18% of the most intense space-time points organized into a global long-range structure, involving connected parts spreading over maximal possible distances. We find that the skeleton is locally 1-dimensional and propose that its geometrical properties might be relevant for understanding the possible role of topological charge fluctuations in the physics of chiral symmetry breaking.
dc.description4 pages RevTeX, 4 figures; v2: 6 pages, 5 figures, more explanations provided, figure and references added, published version
dc.identifierhttps://arxiv.org/abs/hep-lat/0302009
dc.identifierhttp://arxiv.org/abs/hep-lat/0302009
dc.identifierPhys.Rev.D68:114505,2003
dc.identifierdoi:10.1103/PhysRevD.68.114505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197061
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleLow-Dimensional Long-Range Topological Charge Structure in the QCD Vacuum
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