Low Dimensional Long Range Topological Charge Structure in the QCD Vacuum
Author | : |
Publisher | : |
Total Pages | : 114505 |
Release | : 2003 |
ISBN-10 | : OCLC:727207966 |
ISBN-13 | : |
Rating | : 4/5 (66 Downloads) |
Download or read book Low Dimensional Long Range Topological Charge Structure in the QCD Vacuum written by and published by . This book was released on 2003 with total page 114505 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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.