Computing the eta and eta' Mesons in Lattice QCD

Abstract

It has been known for a long time that the large experimental singlet-octet mass gap in the pseudoscalar meson mass spectrum originates from the anomaly of the axial vector current, i.e. from nonperturbative effects and the nontrivial topological structure of the QCD vacuum. In the N_colour -> infinity limit of the theory, this connection elucidates in the famous Witten-Veneziano relation between the eta'-mass and the topological susceptibility of the quenched QCD vacuum.While lattice QCD has by now produced impressive high precision results on the flavour nonsinglet hadron spectrum, the determination of the pseudoscalar singlet mesons from direct correlator studies is markedly lagging behind, due to the computational complexity in handling observables that include OZI-rule violating diagrams, like the eta' propagator. In this article, we report on some recent progress in dealing with the numerical bottleneck problem.

29 pages, 20 figures, Introductory review based on a talk presented by K. Schilling at the 1st Workshop on Lattice Hadron Physics, Cairns, Australia

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Cited by in corpus (8)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• A study of the eta and eta' mesons with improved staggered fermions
• eta' meson From Two Flavor Dynamical Domain Wall Fermions
• Physics of eta-prime with rooted staggered quarks
• Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions
• Towards measuring the eta' mass with N_f=2+1 staggered fermions
• Pseudoscalar singlet physics with staggered fermions