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Witten-Veneziano relation, quenched QCD, and overlap fermions

2002/02/28 by Thomas DeGrand, Urs M. Heller · 41 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Fermion #Particle physics #Particle physics theoretical and experimental studies #Physics #Prime (order theory) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #hep-lat

paper · pdf · doi:10.1103/physrevd.65.114501

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 65(11) (American Physical Society) · 14 pages, Revtex, 11 postscript figures

arxiv created 2002/05/20 · openalex publication_date 2002/06/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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