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Computing the η and η′ Mesons in Lattice QCD

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Lattice Hadron Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 663))

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 Ncolour ⇉ ∞ limit of the theory, this connection elucidates in the famous Witten-Veneziano relation between the η′-mass and the topological susceptibility of the quenched QCD vacuum. While lattice quantum chromodynamics (LQCD) 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 η′ propagator. In this article we report on some recent progress in dealing with this numerical bottleneck problem.

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Author information

Authors and Affiliations

  1. Wuppertal University, D42097 Wuppertal, Germany

    K. Schilling & T. Lippert

  2. Department of Physics, Boston University, MA02215, Boston, USA

    H. Neff

Authors
  1. K. Schilling
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  2. H. Neff
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  3. T. Lippert
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Editor information

Alex C. Kalloniatis Derek B. Leinweber Anthony G. Williams

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Schilling, K., Neff, H., Lippert, T. Computing the η and η′ Mesons in Lattice QCD. In: C. Kalloniatis, A., B. Leinweber, D., G. Williams, A. (eds) Lattice Hadron Physics. Lecture Notes in Physics, vol 663. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11356462_7

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