Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-06-16
Phys.Rev. D72 (2005) 034506
Physics
High Energy Physics
High Energy Physics - Lattice
8 pages, 2 figures
Scientific paper
10.1103/PhysRevD.72.034506
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 QCD vacuum, and that the notion of the fundamental structure (structure involving relevant features at all scales) is viable.
Alexandru Andrei
Horvath Ildiko
Zhang Jian-Bo
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