Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/11129
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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 Responsibility: | 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 |
DOI: | 10.1103/PhysRevD.68.114505 |
Appears in Collections: | Special Research Centre for the Subatomic Structure of Matter publications |
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