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Type: Journal article
Title: Low-dimensional long-range topological charge structure in the QCD vacuum
Author: Horvath, Ivan
Dong, Shao-Jing
Draper, Terrence
Lee, Frank X.
Liu, K. F.
Mathur, Nilmani
Thacker, Harry B.
Zhang, Jian-Bo
Citation: Physical Review D, 2003; 68(11):114505
Publisher: American Physical Society
Issue Date: 2003
ISSN: 0556-2821
School/Discipline: School of Chemistry and Physics : Physics and Mathematical Physics
Statement of
Horváth, I. Dong, S. ; Draper, T. ; Lee, F. ; Liu, K. ; Mathur, N. ; Thacker, H. ; Zhang, J.
Abstract: While 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 3D cubes connected through 2D faces, and approximates a low-dimensional curved manifold (or possibly a fractal structure) embedded in the 4D 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.
Rights: ©2003 American Physical Society
RMID: 0020031409
DOI: 10.1103/PhysRevD.68.114505
Appears in Collections:Special Research Centre for the Subatomic Structure of Matter publications

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