2005/06/16 by Andrei Alexandru, A. Alexandru, Ivan Horváth +3 · 24 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Lattice QCD #Mathematics #Particle physics theoretical and experimental studies #Physics #QCD vacuum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Theoretical physics #Topological quantum number #Topology (electrical circuits) #hep-lat #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.72.034506
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 72(3) (American Physical Society) · 8 pages, 2 figures
arxiv created 2005/06/16 · openalex publication_date 2005/08/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.