Low-dimensional long-range topological charge structure in the QCD vacuum

I. Horváth, S. J. Dong, T. Draper, F. X. Lee, K. F. Liu, N. Mathur, H. B. Thacker, J. B. Zhang

Research output: Contribution to journalArticlepeer-review

109 Scopus citations


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.

Original languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number11
StatePublished - 2003

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


Dive into the research topics of 'Low-dimensional long-range topological charge structure in the QCD vacuum'. Together they form a unique fingerprint.

Cite this