The eta and eta' mesons from lattice QCD

Details The eta and eta' mesons from lattice QCD The eta and eta' mesons from lattice QCD

2001-11-28

arxiv.org/abs/hep-lat/0111056v1

Phys.ScriptaT99:7-12,2002

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, LATEX, 3 ps figures, Proc. WORKSHOP ON ETA PHYSICS, Uppsala, October 22-27, 2001

Scientific paper

10.1238/Physica.Topical.099a0000

Lattice QCD allows a first-principles study of QCD with the freedom to vary the number and masses of the quarks. I present results on the flavour singlet correlations (this illuminates OZI violating effects) for mesons. Concentrating on the pseudoscalar mesons, the flavour singlet mass splitting ($\eta$, $\eta'$ mass splitting) appears naturally. I also present results on an investigation of decay constants for the $\eta$ and $\eta'$ ($f_{\eta}$) and discuss which quantities may be accessible in future lattice studies. The Witten-Veneziano approach can also be explored by determining the quenched topological susceptibility on a lattice.

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