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|Title:||Low-dimensional long-range topological charge structure in the QCD vacuum|
Lee, Frank X.
Liu, K. F.
Thacker, Harry B.
|Citation:||Physical Review D, 2003; 68(11):114505|
|Publisher:||American Physical Society|
|School/Discipline:||School of Chemistry and Physics : Physics and Mathematical Physics|
|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|
|Appears in Collections:||Special Research Centre for the Subatomic Structure of Matter publications|
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