The Reality of the Fundamental Topological Structure in the QCD Vacuum

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 QCD vacuum, and that the notion of the fundamental structure (structure involving relevant features at all scales) is viable.

arXiv comment8 pages, 2 figures

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• Chiral superfluidity of the quark-gluon plasma
• Local P Violation Effects and Thermalization in QCD: Views from Quantum Field Theory and Holography
• Gauge Field Strength Tensor from the Overlap Dirac Operator
• P odd fluctuations and Long Range Order in Heavy Ion Collisions. Deformed QCD as a Toy Model
• Fractal dimension of the topological charge density distribution in SU(2) lattice gluodynamics
• SU(2) Gluodynamics and HP1 sigma-model embedding: Scaling, Topology and Confinement
• Long range order in gauge theories. Deformed QCD as a toy model
• Classical Limits of Scalar and Tensor Gauge Operators Based on the Overlap Dirac Matrix
• Confining string and its widening in HP1 embedding approach
• Collisional energy loss and the Chiral Magnetic Effect
• Lattice Gauge Fields Topology Uncovered by Quaternionic sigma-model Embedding
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• Superfluid helium II as the QCD vacuum
• On the Continuum Limit of Topological Charge Density Distribution
• Probing topological order of QCD at Electron Ion Collider
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