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arXiv · hep-lat/9211005

Problems with the Quenched Approximation in the Chiral Limit

Stephen Sharpe
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Abstract

In the quenched approximation, loops of the light singlet meson (the $η'$) give rise to a type of chiral logarithm absent in full QCD. These logarithms are singular in the chiral limit throwing doubt upon the utility of the quenched approximation. In previous work, I summed a class of diagrams, leading to non-analytic power dependencies such as $\cond\propto m_q^{-δ/(1+δ)}$. I suggested, however, that these peculiar results could be redefined away. Here I give an alternative derivation of the results, based on the renormalization group, and argue that they cannot be redefined away. I discuss the evidence (or lack thereof) for such effects in numerical data.

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Stephen Sharpe. 1992-11-02. Problems with the Quenched Approximation in the Chiral Limit. https://doi.org/10.1016/0920-5632(93)90192-9

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