Probing the topological structure of the QCD vacuum with overlap fermions

Abstract

Overlap fermions implement 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 on Luescher-Weisz-type quenched gauge field configurations using overlap fermions as a probe. Particular emphasis is placed upon the analysis of the spectral density and the localisation properties of the eigenmodes as well as on the local structure of topological charge fluctuations.

arXiv comment8 pages, 6 figures, talk given at the Workshop on Computational Hadron Physics, Nicosia, Cyprus, September 14-17, 2005; v2: Fig.6 corrected, statistics in Fig. 4-6 increased, minor text changes

References in corpus (17)

• Exactly massless quarks on the lattice
• 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
• From chiral Random Matrix Theory to chiral Perturbation Theory
• Numerical techniques for lattice QCD in the $\epsilon$--regime
• Low-Dimensional Long-Range Topological Charge Structure in the QCD Vacuum
• Setting the scale for the Luescher-Weisz action
• The microscopic spectrum of the QCD Dirac operator with finite quark masses
• Operator improvement for Ginsparg-Wilson fermions
• Some more remarks on the Witten-Veneziano formula for the ${\eta }^{\prime }$ mass
• 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
• Inherently Global Nature of Topological Charge Fluctuations in QCD
• Quenched Finite Volume Logarithms
• Quark spectra and light hadron phenomenology from overlap fermions with improved gauge field action
• The Phase Diagram of High Temperature QCD with Three Flavors of Improved Staggered Quarks

Cited by in corpus (9)

• Exploring the structure of the quenched QCD vacuum with overlap fermions
• Chiral phase transition in lattice QCD as a metal-insulator transition
• Gauge Field Strength Tensor from the Overlap Dirac Operator
• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
• Dependence of asymmetries for charge distribution with respect to the reaction plane on initial energy in heavy ion collisions
• Embedded monopoles in quark eigenmodes in SU(2) Yang-Mills Theory
• Analysis of systematic errors in the calculation of renormalization constants of the topological susceptibility on the lattice
• Topological Structure of the QCD Vacuum Revealed by Overlap Fermions