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Type: Journal article
Title: Reality of the fundamental topological structure in the QCD vacuum
Author: Alexandru, Andrei
Horvath, Ivan
Zhang, Jian-Bo
Citation: Physical Review D, 2005; 72(3):034506
Publisher: American Physical Society
Issue Date: 2005
ISSN: 1550-7998
School/Discipline: Centre for the Sub-Atomic Structure of Matter
School of Chemistry and Physics : Physics and Mathematical Physics
Statement of
Andrei Alexandru, Ivan Horváth, and Jianbo Zhang
Abstract: Long-range order of a specific kind has recently been found directly in configurations dominating the regularized QCD path integral. In particular, a low-dimensional global structure was identified in typical space-time distributions of topological charge defined via the overlap Dirac matrix. The presence of the order has been concluded from the fact that the structure disappears after random permutation of position coordinates in measured densities. Here we complete the argument for the reality of this structure (namely the conjecture that its existence is a consequence of QCD dynamics and not an artifact of the overlap-based definition of lattice topological field) by showing that the structure ceases to exist after randomizing the space-time coordinates of the underlying gauge field. This implies that the long-range order present in the overlap-based topological density is indeed a manifestation of the QCD vacuum, and that the notion of the fundamental structure (structure involving relevant features at all scales) is viable.
Rights: ©2005 American Physical Society
DOI: 10.1103/PhysRevD.72.034506
Appears in Collections:Special Research Centre for the Subatomic Structure of Matter publications

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