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arXiv · hep-lat/9608110

Quenched Chiral Logs, the $η'$ Mass, and the Hairpin Diagram

A. Duncan·E. Eichten·S. Perrucci·H. Thacker
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Abstract

Limits on the size of quenched chiral logs in the pion mass for Wilson fermions are investigated. The smallness of chiral logs is shown to be a result of the suppression of the hairpin diagram for small $p^2$, such that the value of the hairpin on the pion mass shell is much smaller than the physical $m_{η'}^2$. A direct calculation of the topological susceptibility from the same data gives $m_{η'}\approx 1$ GeV.

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A. Duncan, E. Eichten, S. Perrucci, H. Thacker. 1996-08-21. Quenched Chiral Logs, the $η'$ Mass, and the Hairpin Diagram. https://doi.org/10.1016/s0920-5632(96)00629-9

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