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.

arXiv comment68 pages, 31 figures, file size: 1.7 MB (PDF)

References in corpus (59)

• Instantons in QCD
• Exactly massless quarks on the lattice
• On the Viability of Lattice Perturbation Theory
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• More about exactly massless quarks on the lattice
• The index theorem in QCD with a finite cut-off
• Locality properties of Neuberger's lattice Dirac operator
• Lattice QCD on Small Computers
• Exact chiral symmetry, topological charge and related topics
• New Class of Random Matrix Ensembles with Multifractal Eigenvectors
• Topological susceptibility in the SU(3) gauge theory
• Numerical techniques for lattice QCD in the $\epsilon$--regime
• Approximate Ginsparg-Wilson fermions: A first test
• On the low fermionic eigenmode dominance in QCD on the lattice
• Highly-improved lattice field-strength tensor
• Numerical Analysis of the Anderson Localization
• Topological Structure of the SU(3) Vacuum
• Linking confinement to spectral properties of the Dirac operator
• Improving meson two-point functions in lattice QCD
• Instantons, the QCD Vacuum, and Hadronic Physics
• Low-Dimensional Long-Range Topological Charge Structure in the QCD Vacuum
• Topological Structure in the SU(2) Vacuum
• Setting the scale for the Luescher-Weisz action
• Solutions of the Ginsparg-Wilson Relation
• The microscopic spectrum of the QCD Dirac operator with finite quark masses
• Low-lying fermion modes, topology and light hadrons in quenched QCD
• Confinement studies in lattice QCD
• Chiral phase transition in lattice QCD as a metal-insulator transition
• Operator improvement for Ginsparg-Wilson fermions
• Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory
• Revealing Topological Structure in the SU(2) Vacuum
• Some more remarks on the Witten-Veneziano formula for the ${\eta }^{\prime }$ mass
• Short distance current correlators: Comparing lattice simulations to the instanton liquid
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• Instantons and Fixed Point Actions in SU(2) Gauge Theory
• Scaling and Topological Charge of a Fixed Point Action for $SU(2)$ Gauge Theory
• The Negativity of the Overlap-Based Topological Charge Density Correlator in Pure-Glue QCD and the Non-Integrable Nature of its Contact Part
• On the Local Structure of Topological Charge Fluctuations in QCD
• An SU(2) KvBLL caloron gas model and confinement
• Complete spectra of the Dirac operator and their relation to confinement
• Evidence Against Instanton Dominance of Topological Charge Fluctuations in QCD
• Testing the self-duality of topological lumps in SU(3) lattice gauge theory
• Cooling, Physical Scales and Topology
• Inherently Global Nature of Topological Charge Fluctuations in QCD
• Local Chirality of Low-Lying Dirac Eigenmodes and the Instanton Liquid Model
• Chiral phase transition and Anderson localization in the Instanton Liquid Model for QCD
• Quenched Finite Volume Logarithms
• Evidence of Instanton Effects in Hadrons from the Study of Low Eigenfunctions of the Dirac Operator
• Localized eigenmodes of covariant Laplacians in the Yang-Mills vacuum
• Are Topological Charge Fluctuations in QCD Instanton Dominated?
• Chiral structure of the solutions of the Ginsparg-Wilson relation
• Comment on ``Evidence Against Instanton Dominance of Topological Charge Fluctuations in QCD''
• Topology at the Deconfinement Transition Uncovered by Inverse Blocking in SU(2) Pure Gauge Theory with Fixed Point Action
• Spatial Correlation of the Topological Charge in Pure SU(3) Gauge Theory and in QCD
• Computation of the one-loop Symanzik coefficients for the square action
• Evidence for fine tuning of fermionic modes in lattice gluodynamics
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
• Lower-dimension vacuum defects in lattice Yang-Mills theory
• Probing the topological structure of the QCD vacuum with overlap fermions

Cited by in corpus (64)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Numerical evidence of chiral magnetic effect in lattice gauge theory
• Contact Term, its Holographic Description in QCD and Dark Energy
• Vacuum structure revealed by over-improved stout-link smearing compared with the overlap analysis for quenched QCD
• QCD as a topologically ordered system
• ${\eta }^{\prime }$ meson mass from topological charge density correlator in QCD
• 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
• Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
• Chiral superfluidity of the quark-gluon plasma
• Topology of dynamical lattice configurations including results from dynamical overlap fermions
• Local P Violation Effects and Thermalization in QCD: Views from Quantum Field Theory and Holography
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Impact of Dynamical Fermions on QCD Vacuum Structure
• Metastable vacuum decay and $\theta$ dependence in gauge theory. Deformed QCD as a toy model
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
• Domain wall network as QCD vacuum and the chromomagnetic trap formation under extreme conditions
• Instantons and Monopoles
• P odd fluctuations and Long Range Order in Heavy Ion Collisions. Deformed QCD as a Toy Model
• The Vortex Structure of SU(2) Calorons
• Topology near the transition temperature in lattice gluodynamics analyzed by low lying modes of the overlap Dirac operator
• Fractal dimension of the topological charge density distribution in SU(2) lattice gluodynamics
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Localized eigenmodes of the overlap operator and their impact on the eigenvalue distribution
• Lattice QCD analysis of the Polyakov loop in terms of Dirac eigenmodes
• Wilson mass dependence of the overlap topological charge density
• Topological objects in QCD
• 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
• Confinement from semiclassical gluon fields in SU(2) gauge theory
• 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
• Chiral quark dynamics and topological charge: The role of the Ramond-Ramond U(1) Gauge Field in Holographic QCD
• Partial restoration of chiral symmetry in the color flux tube
• Large Wilson loops with overlap and clover fermions: Two-loop evaluation of the b-quark mass shift and the quark-antiquark potential
• Absence of strong CP violation
• Evaluating topological charge density with symmetric multi-probing method
• Topological insulators and the QCD vacuum: the theta parameter as a Berry phase
• Metal or Insulator? Dirac operator spectrum in holographic QCD
• Superfluid helium II as the QCD vacuum
• Anomaly Inflow and Membrane Dynamics in the QCD Vacuum
• Tachyonic crystals and the laminar instability of the perturbative vacuum in asymptotically free gauge theories
• Gauge theories with overlap fermions in an arbitrary representation: Evaluation of the 3-loop beta-function
• Topological Structure of the QCD Vacuum Revealed by Overlap Fermions
• Exploring the QCD vacuum - (some) recent developments in confinement and topology
• Density and correlations of topological objects near the transition temperature in lattice gluodynamics
• How Self-Dual is QCD?
• The dependence of overlap topological charge density on Wilson mass parameter
• Repercussions of the Peccei-Quinn axion on QCD
• Yang--Mills topology on four-dimensional triangulations
• Probing topological order of QCD at Electron Ion Collider
• Bosonization and the Berry connection in two-dimensional QED
• Investigating the topological structure of quenched lattice QCD with overlap fermions by using multi-probing approximation
• Topological and magnetic properties of the QCD vacuum probed by overlap fermions
• Probing the Yang-Mills vacuum with adjoint zero-modes
• Nonperturbative physics at short distances
• Interactive Visualization Package for 4D Lattice Field Theories
• Role of the Wilson mass parameter in the overlap Dirac topological charge density
• Anomaly Inflow and Membranes in QCD Vacuum
• Extracting the ${\eta }^{\prime }$ meson mass from gluonic correlators in lattice QCD