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 (6)

• Linking confinement to spectral properties of the Dirac operator
• 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
• An SU(2) KvBLL caloron gas model and confinement
• Complete spectra of the Dirac operator and their relation to confinement
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices

Cited by in corpus (34)

• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• Intersections of thick Center Vortices, Dirac Eigenmodes and Fractional Topological Charge in SU(2) Lattice Gauge Theory
• The dyonic picture of topological objects in the deconfined phase
• The topological structure of SU(2) gluodynamics at T > 0 : an analysis using the Symanzik action and Neuberger overlap fermions
• Metastable vacuum decay and $\theta$ dependence in gauge theory. Deformed QCD as a toy model
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Impact of Dynamical Fermions on QCD Vacuum Structure
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
• Instantons and Monopoles
• Domain wall network as QCD vacuum and the chromomagnetic trap formation under extreme conditions
• Localized eigenmodes of the overlap operator and their impact on the eigenvalue distribution
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Wilson mass dependence of the overlap topological charge density
• Long range order in gauge theories. Deformed QCD as a toy model
• Topological aspects of G2 Yang-Mills theory
• 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
• Collisional energy loss and the Chiral Magnetic Effect
• QCD with overlap fermions: Running coupling and the 3-loop beta-function
• Partial restoration of chiral symmetry in the color flux tube
• Absence of strong CP violation
• Evaluating topological charge density with symmetric multi-probing method
• Superfluid helium II as the QCD vacuum
• 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
• Topological and magnetic properties of the QCD vacuum probed by overlap fermions
• Nonperturbative physics at short distances
• Bosonization and the Berry connection in two-dimensional QED
• Probing topological order of QCD at Electron Ion Collider
• Yang--Mills topology on four-dimensional triangulations
• Probing the Yang-Mills vacuum with adjoint zero-modes
• Repercussions of the Peccei-Quinn axion on QCD
• Interactive Visualization Package for 4D Lattice Field Theories
• Anomaly Inflow and Membranes in QCD Vacuum