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

Abstract

Lattice topological charge associated with Ginsparg-Wilson fermions exhibits generic topological stability over quantum ensemble of configurations contributing to the QCD path integral. Moreover, the underlying chiral symmetry leads to the suppression of ultraviolet noise in the associated topological charge densities ("chiral smoothing"). This provides a solid foundation for the direct study of the role of topological charge fluctuations in the physics of QCD vacuum. Using these tools it was recently demonstrated that: (a) there is a well-defined space-time structure (order) in topological charge density (defined through overlap fermions) for typical configurations contributing to QCD path integral; (b) this fundamental structure is low-dimensional, exhibiting sign-coherent behavior on subsets of dimension less than four and not less than one; (c) the structure has a long-range global character (spreading over maximal space-time distances) and is built around the locally one-dimensional network of strong fields (skeleton). In this talk we elaborate on certain aspects and implications of these results.

3 pages, 1 figure; Lattice2003(topology)

References in corpus (3)

• The index theorem in QCD with a finite cut-off
• Ginsparg-Wilson Relation and Ultralocality
• Strong Non-Ultralocality of Ginsparg-Wilson Fermionic Actions

Cited by in corpus (13)

• The Negativity of the Overlap-Based Topological Charge Density Correlator in Pure-Glue QCD and the Non-Integrable Nature of its Contact Part
• Inherently Global Nature of Topological Charge Fluctuations in QCD
• Center Vortices and Chiral Symmetry Breaking in SU(2) Lattice Gauge Theory
• Localized eigenmodes of covariant Laplacians in the Yang-Mills vacuum
• Chiral Symmetry Breaking on the Lattice
• Chiral superfluidity of the quark-gluon plasma
• The Reality of the Fundamental Topological Structure in the QCD Vacuum
• Fractal dimension of the topological charge density distribution in SU(2) lattice gluodynamics
• The Analysis of Space-Time Structure in QCD Vacuum I: Localization vs Global Behavior in Local Observables and Dirac Eigenmodes
• SU(2) Gluodynamics and HP1 sigma-model embedding: Scaling, Topology and Confinement
• Confining string and its widening in HP1 embedding approach
• Lattice Gauge Fields Topology Uncovered by Quaternionic sigma-model Embedding
• On the Continuum Limit of Topological Charge Density Distribution