Speaker
Dr
Hyung-Jin Kim
(Brookhaven National Laboratory)
Description
The $\eta-\eta'$ mass splitting coming from anomalous effect on U(1) axial currents has been a historical issue.
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The QCD gauge field topology with instanton can explain this problem and show consistent result with experimental mass of $\eta'$.
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Based on the $2+1$ flavor lattice QCD simulation, previous $\eta-\eta'$ masses study shows about 15\% level of accuracy.
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With the advanced computational capability of GPU, we can process more bigger and finer lattice data for higher precision measurement.
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In this work, we will show our preliminary $\eta-\eta'$ mass result calculated on $24^3\times 64$ and $32^3\times 64$ Iwasaki gauge lattices corresponding to $a^{-1} = 1.73$GeV.