Witten-Veneziano Relation, Quenched QCD, and Overlap Fermions

Abstract

The quarks in quenched QCD have an anomalous self-interaction in the flavor singlet Goldstone boson channel. This coupling is extracted from a graph with disconnected quark lines, and is used to infer the mass of the eta-prime meson in full QCD. When the fermions are described by an overlap action, the Witten-Veneziano relation is an exact relation between the topological susceptibility (as defined through fermionic zero modes) and the inferred value of the eta-prime mass. Using an overlap action we compute the hairpin amplitude and determine the fermion zero-mode susceptibility, the inferred eta-prime mass and other parameters characterizing the low energy chiral properties of quenched QCD.

14 pages, Revtex, 11 postscript figures

References in corpus (7)

• The QCD spectrum with three quark flavors
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Cited by in corpus (33)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Practical all-to-all propagators for lattice QCD
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Effective noise reduction techniques for disconnected loops in Lattice QCD
• Light Hadron Masses from Lattice QCD
• Topological susceptibility in the SU(3) gauge theory
• Chiral Analysis of Quenched Baryon Masses
• Low-energy couplings of QCD from current correlators near the chiral limit
• Testing the fixed-point QCD action and the construction of chiral currents
• Improving meson two-point functions in lattice QCD
• Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
• An Introduction to Chiral Symmetry on the Lattice
• Determination of B*B pi coupling in unquenched QCD
• Kaon B Parameter in Quenched QCD
• Topological susceptibility from the overlap
• B-->pi and B-->K transitions in standard and quenched chiral perturbation theory
• Low-lying mode contribution to the quenched meson correlators in the epsilon-regime
• Eigenvalue Decomposition of Meson Correlators
• Light hadron and diquark spectroscopy in quenched QCD with overlap quarks on a large lattice
• Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions
• Radial and orbital excitations of static-light mesons
• Precision study of B^* Bπcoupling for the static heavy-light meson
• Domain decomposition improvement of quark propagator estimation
• Heavy flavor physics from lattice QCD
• Quenched chiral logarithms in lattice QCD with exact chiral symmetry
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Disconnected Loop Subtraction Methods in Lattice QCD
• Topological susceptibility for the SU(3) Yang--Mills theory
• Mass dependence of the hairpin vertex in quenched QCD
• Multi-hadron operators with all-to-all quark propagators
• Towards measuring the eta' mass with N_f=2+1 staggered fermions
• Monopole and instanton effects on connected and disconnected correlations for scalar density
• Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields