Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-12-15
Nucl.Phys.Proc.Suppl. 42 (1995) 85-95
Physics
High Energy Physics
High Energy Physics - Lattice
Self-contained PS file containing 11 pages. Final version of the review talk presented at LATTICE 94, Bielefeld, Germany, Sept
Scientific paper
10.1016/0920-5632(95)00190-K
This talk contains an analysis of quenched chiral perturbation theory and its consequences. The chiral behavior of a number of quantities such as the pion mass $m_\pi^2$, the Bernard-Golterman ratios $R$ and $\chi$, the masses of nucleons, and the kaon B-parameter are examined to see if the singular terms induced by the additional Goldstone boson,$\eta'$, are visible in present data. The overall conclusion (different from what I presented at the lattice meeting) of this analysis is that, with some caveats on the extra terms induced by $\eta'$ loops, the standard expressions break down when extrapolating the quenched data with $m_q < m_s/2$ to physical light quarks. I then show that due to the single and double poles in the quenched $\eta'$, the axial charge of the proton cannot be calculated using the Adler-Bell-Jackiw anomaly condition. I conclude with a review of the status of the calculation of light quark masses from lattice QCD.
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