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arXiv · hep-lat/9412078

Chiral limit of QCD

Rajan Gupta
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Abstract

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 $m_π^2$, the Bernard-Golterman ratios $R$ and $χ$, the masses of nucleons, and the kaon B-parameter are examined to see if the singular terms induced by the additional Goldstone boson,$η'$, 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 $η'$ 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 $η'$, 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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Rajan Gupta. 1995-01-15. Chiral limit of QCD. https://doi.org/10.1016/0920-5632(95)00190-k

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