Exploring the structure of the quenched QCD vacuum with overlap fermions

Abstract

Overlap fermions have an exact chiral symmetry on the lattice and are thus an appropriate tool for investigating the chiral and topological structure of the QCD vacuum. We study various chiral and topological aspects of quenched gauge field configurations. This includes the localization and chiral properties of the eigenmodes, the local structure of the ultraviolet filtered field strength tensor, as well as the structure of topological charge fluctuations. We conclude that the vacuum has a multifractal structure.

68 pages, 31 figures, file size: 1.7 MB (PDF)

References in corpus (3)

• Chiral phase transition in lattice QCD as a metal-insulator transition
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• Complete spectra of the Dirac operator and their relation to confinement

Cited by in corpus (9)

• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• Impact of Dynamical Fermions on QCD Vacuum Structure
• Localized eigenmodes of the overlap operator and their impact on the eigenvalue distribution
• Classical Limits of Scalar and Tensor Gauge Operators Based on the Overlap Dirac Matrix
• Fractionally charged Wilson loops as a probe of $\theta$-dependence in $C{P}^{N-1}$ sigma models: Instantons vs. large N
• QCD with overlap fermions: Running coupling and the 3-loop beta-function
• Exploring the QCD vacuum - (some) recent developments in confinement and topology
• Gauge theories with overlap fermions in an arbitrary representation: Evaluation of the 3-loop beta-function
• Interactive Visualization Package for 4D Lattice Field Theories